%RKBeatsonEChacko2000
% larry 20apr00
\rhl{}
\refP R.~K.~Beatson,E.~Chacko, ;
Fast evaluation of radial basis functions: a multivariate momentary
   evaluation scheme;
\Stmalof; 37--46;

%Rababah1991a
\rhl{R}
\refR Rababah,  A.;
Taylor theorem for curves;
Univ.\ Stuttgart; 1991;

%Rababah1991b
\rhl{R}
\refR Rababah,  A.;
Taylor theorem for planar curves;
Univ.\ Stuttgart; 1991;

%Rababah1992
\rhl{R}
\refD Rababah,  Abdallah;
Approximation von Kurven mit Polynomen und Splines;
Universit\"at Stuttgart (Stuttgart, Germany); 1992;

%Rababah1993
% nam
\rhl{R}
\refJ Rababah,  Abdallah;
Taylor theorem for planar curves;
\PAMS; 119(3); 1993; 803--810;

%Rabinowitz1968
% larry
\rhl{R}
\refJ Rabinowitz,  P.;
Applications of linear programming to numerical analysis;
SIAM Rev.; 10; 1968; 121--159;

%Rabinowitz1990
% (carl)
\rhl{R}
\refJ Rabinowitz,  P.;
Numerical integration based on approximating splines;
\JCAM; 33; 1990; 73--83;

%Rabinowitz1992
% (carl)
\rhl{R}
\refQ Rabinowitz,  P.;
Application of approximating splines for the solution of Cauchy integral
equations;
(Innovative Methods in Numerical Analysis), xxx (ed.), Bressanone (xxx); 1992;
xxx--xxx;

%Rabinowitz1993a
\rhl{R}
\refJ Rabinowitz,  P.;
Extrapolation methods in numerical integration;
\NA; 3; 1993; xxx--xxx;

%Rabut1982a
% .
\rhl{R}
\refJ Rabut,  C.;
An introduction to Schoenberg's approximation;
\CMA; 24(12); 1992; 149--175;

%Rabut1989a
\rhl{R}
\refR Rabut,  C.;
Polyharmonic cardinal B-splines --- Part A: Elementary B-splines;
INSA - Service de Math\'ematiques, Toulouse Cedex; xxx;

%Rabut1989b
\rhl{R}
\refR Rabut,  C.;
Polyharmonic cardinal B-splines --- Part B: Quasi-interpolating B-splines;
INSA - Service de Math\'ematiques, Toulouse Cedex; xxx;

%Rabut1990
% larry
\rhl{R}
\refD Rabut,  C.;
$B$-splines polyharmoniques cardinales: interpolation, 
quasi-interpolation, filtrage; 
Universit\'e Paul Sabatier, Toulouse; 1990;

%Rabut1991
% larry
\rhl{R}
\refP Rabut,  C.;
How to build quasi-interpolants: Application to polyharmonic $B$-splines; 
\ChamonixI; 391--402;

%Rabut1992a
% sherm, update page numbers
\rhl{R}
\refJ Rabut,  C.;
Elementary m-harmonic cardinal B-splines;
\NA; 2; 1992; 39--61;

%Rabut1992b
% sherm, update  page numbers
\rhl{R}
\refJ Rabut,  C.;
High level m-harmonic cardinal B-splines;
\NA; 2; 1992; 63--84;

%Rabut1994
% larry
\rhl{R}
\refP Rabut, C.;
Some criteria to evaluate the quality of a quasi-interpolant;
\ChamonixIIb; 429--436;

%Rabut2000
% .
\rhl{}
\refJ Rabut, Christophe;
Generalized divided difference with simple knots;
\SJNA; 38; 2000; 1294--1311;

%Rabut2001
% carl 16aug02
\rhl{R01}
\refJ Rabut, C.;
Multivariate divided differences with simple knots;
\SJNA; 38(4); 2001; 1294--1311;

%Rack1980
\rhl{R}
\refJ Rack,  H. J.;
Ein Existenzsatz f\"ur kubische Splinefunktionen;
Beitr.\ Numer.\ Math.; 8; 1980;  131--137;

%Radau1880
% . 23jun03
\rhl{}
\refJ Radau, R.;
\'Etude sur les formules d'approximation qui servent \`a calculer la valeur
num\'erique d'une int\'egrale d\'efinie;
J. pures et appliqu\'ees, s\'er.~3; 6; 1880; 283--336;
% basic paper on numerical quadrature

%RademacherScherer1990
% . 14may99
\rhl{R}
\refP Rademacher, C., Scherer, K.;
Algorithms for computing best parametric
   cubic interpolation;
\ShrivenhamII; 193--207; 

%Radloff1974
% larry
\rhl{R}
\refJ Radloff,  J.;
Perspektivsche Darstellung implizit definierter F\"achen;
Elektron Rechenanl.; 16; 1974; 18--22;

%RadloffHahn1973
% larry
\rhl{R}
\refJ Radloff,  J., Hahn, H.;
Darstellung einer reelen Funktion zweier Ver\"anderlicher durch
perspektivische Abbildung ihrer Niveaukurven;
Elektron Rechenanl.; 15; 1973; 9--17;

%Radon1935
% carlrefs 26aug98 
\rhl{R}
\refJ Radon, J.;
Restausdr\"ucke bei Interpolations- und Quadraturformeln durch bestimmte
   Integrale;
Monatsh.\ Math.\ Phys.; 42; 1935; 389--396;
% if the lfl 
%  $\lambda: f \mapsto \int_a^b f w + \sum_{i=1}^N \sum_{j<n}c(i,j)D^jf(x_i)$
% vanishes on the nullspace of the $n$th order linear differential operator M, 
% then 
%  $lambda f = \int_a^b K Mf$, with $M*K = w$ except at the $x_i$ where the
% jump in $D^jK$ equals $-c(i,n-1-j)$, and $M*$ is the adjoint of M.
% Follow-up of Kowalewski32 and, ultimately, Peano13 who cover this for M=D^n.

%Radon1948
% . carlrefs
\rhl{R}
\refJ Radon,  J.;
Zur mechanischen Kubatur;
Monatshefte der Math.\ Physik; 52(4); 1948; 286--300;
% first paper to propose use of orthogonal polynomials in the construction 
% of cubature rules with a small number of points for a given degree of
% exactness. Only one case is worked out, but in explicit detail, namely that
% of a seven-point rule exact for polynomials of degree $\le 5$. In the
% process, observes the following: if $T \subset \RR^2 $ is correct for $\Pi_k$,
% and $U$ is a set of $k+2$ points on an arbitrary straight line not meeting
% $T$, then $T\cup U$ is correct for $\Pi_{k+1}$.

%Ragozin1980
% larry
\rhl{R}
\refJ Ragozin, D. L.;
Curvatures and curves in Hilbert space;
\MZ; 173; 1980; 51--67;

%Ragozin1983
% sonya
\rhl{R}
\refJ Ragozin, D. L.;
Error bounds for derivative estimates based on
   spline smoothing of exact or noisy data;
\JAT; 37; 1983; 335--355;

%Ragozin1983b
% larry
\rhl{R}
\refJ Ragozin, D. L.;
Limits of periodic smoothing splines;
Indag.\ Math.; 87; 1983; 37--46;

%Ragozin1985
% carl
\rhl{R}
\refJ Ragozin,  David L.;
The discrete $k$-functional and spline smoothing of noisy data;
\SJNA; 22; 1985; 1243--1254;

%Ragozin1986
% carl
\rhl{R}
\refJ Ragozin, D. L.;
Limits of generalized periodic $D$-splines;
Israel J.; 54(3); 1986; 317--326;

%RagozinLevesley1997
% larry 10sep99
\rhl{RL}
\refP Ragozin, D. L., Levesley, J.;
Zonal kernels, approximations and positive definiteness on spheres
and compact homogeneous spaces;
\ChamonixIIIa; 371--378;

%RagozinLevesley2000
% authors 16mar01
\rhl{RL}
\refJ Ragozin, D. L., Levesley, J.;
The density of translates of zonal kernels on compact homogeneous spaces;
\JAT; 103(2); 2000; 252--268;

%RahmanVertesi1992
% carl
\rhl{R}
\refJ Rahman,  Q. I., V\'ertesi, P.;
On the $L_p$ convergence of Lagrange interpolating entire functions of
exponential type;
\JAT; 69; 1992; 302--317;

%Rahseparfard2009
% carl 04mar10
\rhl{}
\refJ Rahseparfard, Kheirollah;
An approach to interpolation by integration;
Proc.\ Yerevan State Univ.\ Phys.\ Mathem.\ Sci.; 2; 2009; 21--25;
{\tt http://www.ysu.am/userfiles/press/245\_Gitakan\%20texekagir\%20matfiz+.pdf}
% uniquely matches by a polynomial of degree \le k the average value over 
% the bounded regions of a partition generated by a set of k+3 lines in 
% general position, but only for k=0,1.
% See Ktryan09 for a shorter proof.
% claims the general result was conjectured by Hakopian, see 
% BojanovHakopianSahakian93

%Ramaraj1986
% larry
\rhl{R}
\refR Ramaraj,  R.;
Interpolation and display of scattered data over a sphere;
M.S. Thesis,  Arizona State University; 1986;

%RamaswamiRamosToussain1998
% larry Lai-Schumaker book
\rhl{RamRT98}
\refJ Ramaswami, S., Ramos, P., Toussain, G. T.;
Converting triangulations to quadrangulations;
\CG; 9; 1998; 257--276;

%Rameau1994
% larry
\rhl{R}
\refP Rameau, J. F.;
Bifurcation phenomenon in a tool path computation;
\ChamonixIIa; 385--392;

%Ramer1972
\rhl{R}
\refJ Ramer,  U. E.;
An iterative procedure for the polygonal approximation of plane curves;
\CGIP; 1; 1972; 244--256;

%RamirezLorente1999
\rhl{R}
\refR Ramirez,  V., Lorente, J.;
Some results and applications on interpolation in two variables;
xx; 19xx;

%Ramsay1988
% . 10nov97
\rhl{R}
\refJ Ramsay, J. O.;
Monotone regression splines in action;
Statistical Science; 3(4); 1988; 425--461;

%RamsayDalzell1990
\rhl{R}
\refR Ramsay,  J. O., Ramsay, C. J.;
Some tools for functional data analysis;
xxx; 1990;

%RamsayT2002a
% . 10nov97
\rhl{R}
\refJ Ramsay, T.;
Spline smoothing over difficult regions;
J. R. Statist.\ Soc. B; 64 part B; 2002; 307--319;

%Ramshaw1985
\rhl{R}
\refJ Ramshaw,  Lyle;
A Euclidean View of Joints Between B\'ezier Curves;
xxx;
xxx;
1985;
xxx;

%Ramshaw1987
% larry
\rhl{R}
\refR Ramshaw,  L.;
Blossoming: a connect-the-dots approach to splines;
Techn.\ Rep., Digital Systems Research Center, Palo Alto; 1987;

%Ramshaw1988a
\rhl{R}
\refQ Ramshaw,  L.;
 B\'eziers and B-splines as multiaffine maps;
(Theoretical Foundations of Computer Graphics and CAD, NATO Advanced Study
Institute Series),
R. A. Earnshaw (ed.), Springer-Verlag (Heidelberg); 1988;  757--776;

%Ramshaw1989a
% greg
\rhl{R}
\refJ Ramshaw,  L.;
Blossoms are polar forms;
\CAGD; 6(4); 1989; 323--358;

%Ramshaw2001
% carl 21jan02
\rhl{}
\refR Ramshaw, Lyle;
On multiplying points: The paired algebra of forms and sites;
SRC Research Report 169, COMPAQ, System Research Center, 130 Lytton Ave
(Palo Alto CA 94301); 2001;
% 

%Rana1984
\rhl{R}
\refR Rana,  S. S.;
Discrete cubic x-spline interpolation;
India; 1984;

%Rana1989
% . 20nov03
\rhl{R}
\refR Rana,  S. S.;
Quadratic spline interpolation;
\JAT; 57(3); 1989; 903--906;

%Rana1990
\rhl{R}
\refR Rana,  S. S.;
Asymptotics and representation of deficient cubic splines;
FU Berlin; xxx;

%Rana1990a
% . 14sep95
\rhl{R}
\refJ Rana, S. S.;
Local behaviour of the first difference of a discrete cubic spline;
\JATA; 6(4); 1990; 58--64;

%Rana1999
\rhl{R}
\refR Rana,  S. S.;
Complex quadratic spline interpolation;
XX; 19XX;

%Rana1999b
\rhl{R}
\refR Rana,  S. S.;
Local behaviour of a mid point quadratic spline interpolator;
XX; 19XX;

%RanaDikshit1999
\rhl{R}
\refR Rana,  S. S., Dikshit, H. P.;
Discrete cubic spline interpolation with nonuniform meshes;
RMJ; 19xx;

%RanaDubey1996a
% carl 14sep95 5dec96
\rhl{R}
\refJ Rana, S. S., Dubey, Y. P.;
Local behaviour of the deficient discrete cubic spline interpolator;
\JAT; 86(1); 1996; 120--127;

%RanaDubey1996a
% carl 5dec96
\rhl{R}
\refJ Rana, S. S., Dubey, Y. P.;
Local behaviour of the deficient discrete cubic spline interpolator;
\JAT; 86(1); 1996; 120--127;

%RaoYip1990
\rhl{R}
\refB Rao,  K. R., Yip, P.;
Discrete Cosine Transform: Algorithms, Advantages, Applications;
Academic Press (New York); 1990;

%Raphael1985
% sonya
\rhl{R}
\refJ Raphael,  L. A.;
A Jackson-type theorem for averages of splines
      bounding a class of differentiable functions;
\JAT; 43; 1985; 124--131;

%Rasa1985
% shayne 22may98
\rhl{R}
\refJ Ra{\c s}a, I.;
Approximation of twice differentiable functions by positive linear operators;
\ANTA; 14(2); 1985; 131--135;

%Rasputin1986a
% shayne 26oct95
\rhl{R}
\refJ Rasputin, G. G.;
The construction of cubature formulas containing specified nodes;
Izvestiya VUZ. Matematika; 30 (11); 1986; 58--67;
% surely the least can be used here

%RassiasSrivastavaYanishauskas9x
% . 19nov95
\rhl{R}
\refB Rassias, Th. M., Srivastava, H. M., Yanishauskas, A.;
Topics in polynomials of one and several variables and their applications;
World Scientific (Singapore); 199x;
% Volume dedicated to the memory of P. L. Chebyshev (1821--1894)

%Rauch1977
% larry
\rhl{R}
\refD Rauch,  E.;
E-Basis-Splinefunktionen und ihre Anwendung in der kardinalen
Interpolation;
Univ.\ Siegen; 1977;

%Ravaloiu1964
\rhl{R}
\refJ Ravaloiu,  I.;
Sur l'interpolation a l'aide de polynomes raccordes;
Matematica; 6; 1964;  295--299;

%RayevskayaSchumaker2005
% larry Lai-Schumaker book
\rhl{RayS05}
\refJ Rayevskaya, V., Schumaker, L. L.;
Multi-sided macro-element spaces based on Clough--Tocher
   triangle splits;
\CAGD; 22; 2005; 57--79;

%Ream1961
% carl
\rhl{R}
\refJ Ream, N.;
Note on ``approximation of curves by line segments'';
\MC; 15(76); 1961; 418--419;

%ReddienSchumaker1976
% larry
\rhl{R}
\refJ Reddien,  G. W., Schumaker, L. L.;
On a collocation method for singular two-point
boundary-value problems;
\NM; 25; 1976; 427--432;

%ReedEbrahimiGiunta1990
\rhl{R}
\refR Reed, T. R., Ebrahimi, T., Giunta, G.;
Image sequence coding using concepts in visual perception;
xx; 1990;

%Reichel1983
% . 20jun97
\rhl{R}
\refR Reichel, L.;
On polynomial approximation in the uniform norm by the discrete least squares
   method;
mrc tsr 2472; 1983;
% to appear in BIT

%Reichel1990
% .
\rhl{R}
\refJ Reichel, L.;
Newton interpolation at Leja points;
\BIT ; 30; 1990; 332--346;

%Reid1972
% larry
\rhl{R}
\refJ Reid,  J. K.;
A note on the approximation of plane regions;
\CJ; 14; 1972; 307--308;

%Reid1999
\rhl{R}
\refR Reid,  J. K.;
A note on the least squares solution of a band system of linear equations
by Householder reductions;
xx; 19xx;

%Reif1993a
% carlrefs
\rhl{R}
\refD Reif,  Ulrich;
Neue Aspekte in der Theorie der Freiformfl\"achen beliebiger Topologie;
Dr.\ rer.\ nat., Universit\"at Stuttgart (Germany); 1993;
% subdivision, convergence, smoothness of limit surface, Doo-Sabin, G-splines

%Reif1995a
% author 5dec96
\rhl{R}
\refJ Reif, Ulrich;
A unified approach to subdivision algorithms near extraordinary vertices;
\CAGD; 12; 1995; 153--174;

%Reif1995b
% author 5dec96
\rhl{R}
\refP Reif, Ulrich;
Some new results on subdivision algorithms for meshes of arbitrary topology;
\TexasVIIIw; 367--374;

%Reif1995c
% author 22may98
\rhl{R}
\refJ Reif, U.;
A note on degenerate triangular B\'ezier patches;
\CAGD; 12; 1995; 547--550;

%Reif1995d
% jorg 21jan02
\rhl{R}
\refJ Reif, U.;
Biquadratic G-spline surfaces;
\CAGD; 12(2); 1995; 193--205;

%Reif1997
% . 22may98
\rhl{R}
\refJ Reif, U.;
Orthogonality of cardinal B-splines in weighted Sobolev spaces;
\SJMA; 28(5); 1997; 1258--1263;

%Reif1998
% carl 22may98
\rhl{R}
\refJ Reif, U.;
TURBS -- Topologically unrestricted rational B-splines;
\CA; 14(1); 1998; 57--78;
% see also Reif93a
% subdivision, convergence, smoothness of limit surface, Doo-Sabin, G-splines

%Reif1998b
% carl 26aug98
\rhl{R}
\refD Reif, U.;
Analyse und Konstruktion von Subdivisionsalgorithmen f\"ur Freiformfl\"achen
   beliebiger Topologie;
Habilitation Stuttgart; 1998;
% careful, thorough, very readable

%Reif1999
% jorg 21jan02
\rhl{R}
\refB Reif, Ulrich;
Analyse und Konstruktion von Subdivisionsalgorithmen f\"ur 
   Frei\-form\-fl"a\-chen beliebiger Topologie;
Shaker Verlag (Aachen); 1999;

%Reif2000
% larry Lai-Schumaker book
\rhl{Rei00}
\refJ Reif, U.;
Best bounds on the approximation of polynomials and splines
   by their control structure;
\CAGD; 17; 2000; 579--589;

%Reif2007
% carl 04mar10
\rhl{}
\refP Reif, Ulrich;
An appropriate geometric invariant for the $C^2$-analysis of subdivision
   schemes;
\SurfacesXII; 364--377;

%Reif9x
% carl 20apr99
\rhl{R}
\refR Reif, Ulrich;
Best bounds on the approximation of polynomials and splines by their control
   structure;
ms, 12mar99; 1999;
% cf NairnPetersLutterkort98, LutterkortPeters9x

%Reif9xa
% carl 22may98
\rhl{R}
\refJ Reif, U.;
A refinable space of smooth spline surfaces of arbitrary topological genus;
\JAT; xxx; 199x; xxx--xxx;
% subdivision, convergence, smoothness of limit surface, Doo-Sabin, G-splines

%Reilly1969
\rhl{R}
\refJ Reilly,  W. I.;
Contouring gravity anomaly maps by digital plotter;
New Zealand J. Geol.\ Geophy.; 12; 1969; 628--632;

%Reimer
% carl 23may95
\rhl{R}
\refB Reimer, Manfred;
Constructive Theory of Multivariate Functions (with an application to
tomography);
Wissenschaftsverlag (Mannheim); 1990;
% Introduction: Polynomials (also spherical, Gegenbauer, harmonic) biorthogonal 
% families: Multivariate Approximation, interpolation,  extremal bases, 
% orthogonal projection, Appell-series: Application, Radon-transform: Final 
% Remarks, spline functions vs polynomials

%Reimer1975a
% . 20feb96
\rhl{R}
\refJ Reimer, M.;
Auswertungsverfahren f\"ur Polynome in mehreren Variablen;
\NM; 23; 1975; 321--336;

%Reimer1982
% sonya
\rhl{R}
\refJ Reimer,  M.;
Extremal spline bases;
\JAT; 36; 1982; 91--98;

%Reimer1983
% sherm
\rhl{R}
\refJ Reimer,  M.;
The radius of convergence of a Cardinal Lagrange spline series of odd degree;
\JAT; 39; 1983; 289--294;

%Reimer1984
% carl
\rhl{R}
\refJ Reimer, M.;
Best constants occuring with the modulus of continuity in the error estimate
for spline interpolants of odd degree on equidistant grids;
\NM; 44; 1984; 407--415;

%Reimer1985
% sherm
\rhl{R}
\refJ Reimer,  M.;
The main roots of the Euler-Frobenius polynomials;
\JAT; 45; 1985; 358--362;

%Reimer1987a
% .
\rhl{R}
\refJ Reimer, M.;
Interpolation on the sphere and bounds for the Lagrangian square sum;
Resultate der Math.; 11; 1987; 144--164;
% MR88e:41012
% rotationally invariant polynomial spaces used for interpolation on sphere

%Reimer1995a
% carl 20feb96
\rhl{R}
\refJ Reimer, M.;
Zonal spherical polynomials with minimal $L_1$-norm;
\JATA; 11(3); 1995; 22--35;

%Reimer1997
% carl 26aug98
\rhl{R}
\refP Reimer, Manfred;
The average size of certain Gram-determinants and interpolation on
   non-compact sets;
\Mannheimnisi; 235--243;
% with $V$ an $n$-dimensional space of real functions in some algebra with
% unit of functions on some domain $D$ and $F$ a positive linear functional on 
% that algebra, normalized to $F(1) = 1$, author, inspired by Auerbach,
% considers maximization of $\det (F(\phi_s\phi_t): s,t\in T)$ over all $T\in 
% D^n$ with $F(\phi_s f):=f(s)$, all $f$, in search for good choices for $T$.
% Since this max may be infinite, also considers minimization of
% $\det (F(\phi_s\phi_t): s,t\in T)$ over all $T\in D^n$ that are
% correct for $V$, hence the conditions 
% $\ell_t(s)=\gd_{ts}$, $t,s\in T$ uniquely define $ell_t\in V$.

%Reimer1997b
% . 26aug98
\rhl{R}
\refJ Reimer, M.;
Leading coefficients and extreme points of homogenous polynomials;
\CA; 13; 1997; 357--362;
% could have read more carefully Hakopian94a, as is pointed out in Hakopian98
% which proves more detailed results in a shorter manner.

%Reimer2000
% carl 21jan02
\rhl{}
\refJ Reimer, Manfred;
Hyperinterpolation on the sphere at the minimal projection order;
\JAT; 105(2); 2000; 272--286;

%ReimerSiepmann1986
% larry
\rhl{R}
\refJ Reimer,  M., Siepmann, D.;
An elementary algebraic representation of polynomial spline interpolants
for equidistant lattices and its condition;
\NM; 49; 1986; 55--65;

%ReimerSundermann1986
% .
\rhl{R}
\refJ Reimer, M., S\"undermann, B.;
A Remez-type algorithm for the calculation of extremal
fundamental systems for polynomial spaces over the sphere;
\C; 37; 1986; 43--58;

%ReimerSundermann1987a
% .
\rhl{R}
\refJ Reimer, M., S\"undermann, B.;
G\"unstige Knoten f\"ur die Interpolation mit homogenen harmonischen Polynomen;
Resultate der Math.; 11; 1987; 254--266;
% MR88i:41004
% multivariate, polynomial interpolation on sphere

%Reinsch1967
% larry
\rhl{R}
\refJ Reinsch,  C. H.;
Smoothing by spline functions;
\NM; 10; 1967;	177--183;

%Reinsch1971a
\rhl{R}
\refQ Reinsch,  C. H.;
Mathematische Hilfsmittel f\"ur das automatische
	 Zeichnen von Funktionen und Kurven;
(Computer Graphics Symp.\ Berlin), xxx (ed.), xxx (xxx); 1971;	309--338;

%Reinsch1971b
% carl
\rhl{R}
\refJ Reinsch, Christian H.;
Smoothing by spline functions. II;
\NM; 16; 1971; 451--454;

%Reinsch1974
% carl
\rhl{R}
\refJ Reinsch,  C. H.;
Two extensions of the Sard-Schoenberg theory of best approximation;
\SJNA; 11; 1974; 45--51;

%Reinsch1990a
\rhl{R}
\refR Reinsch,  C.;
Software for shape preserving spline interpolation;
Wilkinson Meeting, Oxford Univ.\ Press; 19xx;

%Reinsch1990b
\rhl{R}
\refR Reinsch,  C.;
Eine schnell konvergierende Block-Iteration f\"ur die Konstruktion des
Form-erhaltenden Spline-Interpolanten;
Bauer Kolloq., Springer-Verlag; 19xx;

%ReinschKD1977
% larry
\rhl{R}
\refR Reinsch,  K. D.;
Nonlinear spline functions;
Diplomarbeit, Tech.\ Univ.\ Munich; 1977;

%ReinschKD1981
% larry
\rhl{R}
\refD Reinsch,  K. D.;
Numerische Berechnung von Biegelinien in der Ebene;
Tech.\ Univ.\ Munich; 1981;

%ReinschKD1997
% larry 10sep99
\rhl{R}
\rhl{R}
\refP Reinsch, K.-D.;
Interpolation by pieces of Euler's elastica;
\ChamonixIIIa; 379--386;

%Remes1940
% . 26aug98
\rhl{R}
\refJ Remes, E. J.;
Sur les termes complementaires de certaines formules d'analyse approximative;
\DAN; 26; 1940; 129--133;

%Rendu1980
% larry
\rhl{R}
\refJ Rendu,  J. M.;
Disjunctive Kriging:  Comparison of
theory with actual results;
Math.\ Geol.; 12; 1980; 305--320;

%RenesBlumeKohoutScottCaves2004
% shayne 03apr06
\rhl{}
\refJ Renes, J. M., Blume--Kohout, R., Scott, A. J., Caves, C. M.;
Symmetric informationally complete quantum measurements;
\JMP; 45; 2004; 2171--2180;

%Renka1981
% larry
\rhl{R}
\refD Renka,  R. J.;
Triangulation and bivariate interpolation for
irregularly distributed data points;
Univ.\ Texas; 1981;

%Renka1984
% larry
\rhl{R}
\refJ Renka,  R. J.;
Interpolation of data on the surface of a sphere;
\ACMTMS; 10; 1984; 417--436;

%Renka1984c
% larry
\rhl{R}
\refJ Renka,  R. J.;
Algorithm 623: Interpolation on the surface of a sphere;
\ACMTMS; 10; 1984; 437--439;

%Renka1984d
% larry
\rhl{R}
\refJ Renka,  R. J.;
Algorithm 624: Triangulation and interpolation of arbitrarily distributed
points in the plane;
\ACMTMS; 10; 1984; 440--442;

%Renka1987
% larry, carl 05mar08
\rhl{R}
\refJ Renka,  R. J.;
Interpolation tension splines with automatic selection of tension factors;
\SJSSC; 8(3); 1987; 393--415;
% ms 15jan84

%Renka1993
% larry
\rhl{R}
\refJ Renka, R. J.;
Algorithm 716 TSPACK: Tension spline curve-fitting package;
\ACMTMS; 19; 1993; 81--94;

%Renka1997
% larry Lai-Schumaker book
\rhl{Ren97}
\refJ Renka,  R. J.;
Algorithm 772: STRIPACK: Delaunay triangulation and Voro\-noi diagram on the
   surface of a sphere;
\ACMTMS; 23; 1997; 416--434;

%RenkaCline1984
\rhl{R}
\refJ Renka,  R. J., Cline, A. K.;
A triangle-based $C^1$ interpolation method;
\RMJM; 14; 1984; 223--238;

%RenkaCline1999
\rhl{R}
\refR Renka, R. J., Cline, A. K.;
Scattered data fitting using a constrained Delaunay triangulation;
xx; xx;

%Renner1982
% larry
\rhl{R}
\refJ Renner,  G.;
A method of shape description for mechanical
	engineering practice;
Computers in Industry; 3; 1982; 137--142;

%RennerPochop1999
\rhl{R}
\refR Renner,  G., Pochop, V.;
A new method for local smooth interpolation;
xx; 19xx;

%Rentrop1980
% carl
\rhl{R}
\refJ Rentrop, P.;
An algorithm for the computation of the exponential splines;
\NM; 35; 1980; 81--93;

%RentropWever1991a
\rhl{R}
\refR Rentrop,  P., Wever, U.;
Theory and application of the
exponential spline;
preprint; 1991;

%Renz1982
% larry, carl
\rhl{R}
\refJ Renz, Wolfgang;
Interactive smoothing of digitized point data;
\CAD; 14(5); 1982; 267--269;
% computer-aided design, data analysis.

%RepsRall2001
% carl 16aug02
\rhl{RR01}
\refJ Reps, Thomas W., Rall, Louis B.;
Computational divided differencing and divided-difference arithmetics;
Higher-Order and Symbolic Computations; xx; 200x; xxx--xxx;

%Requicha1980a
\rhl{R}
\refJ Requicha,  A.;
 Representations for rigid solids: theory,
methods and systems;
Computing Surveys of the ACM;  12; 1980; 437--464;

%RequichaVoelcker1985a
\rhl{R}
\refJ Requicha,  A., Voelcker, H.;
 Boolean operations in solid
modeling: Boundary evaluation and merging algorithms;
\PIEEE;  73; 1985; 30--44;

%Rescorla1985
% larry
\rhl{R}
\refD Rescorla,  K. L.;
Multivariate interpolation;
Univ.\ Utah; 1985;

%Resnikoff1990
\rhl{R}
\refR Resnikoff,  H. L.;
Weierstrass functions and compactly supported wavelets;
Aware, Inc Report AD900513; 1990;

%RespessCheney1982
\rhl{R}
\refJ Respess,  J. R., Cheney, E. W.;
Best approximation problems in tensor-product spaces;
Pacific J. Math.; 102; 1982; 437--446;

%Reuter1982
% larry
\rhl{R}
\refD Reuter,  R.;
\"Uber Integralformeln der Einheitssph\"are und harmonische
Splinefunktionen;
TH Aachen; 1982;

%Rhynsburger1973
\rhl{R}
\refJ Rhynsburger,  D.;
Analytic delineation of Thiessen polygons;
Geograph.\ Anal.; 5; 1973; 133--144;

%RibarskyHodgesMinskBruchez1992
\rhl{R}
\refR Ribarsky, W., Hodges, L. F., Minsk, R., Bruchez, M.;
Visualization representations of discrete multivariate data;
Georgia Tech.; 1992;

%Rice1960a
% larry
\rhl{R}
\refJ Rice,  J. R.;
The characterization of best nonlinear Chebyshev
approximation;
Transact.\ Amer.\ Math.\ Soc.;  96; 1960; 322--340;

%Rice1964
\rhl{R}
\refB Rice,  J. R.;
The Approximation of Functions, Vol.~I;
Addison-Wesley (Reading, Mass.); 1964;

%Rice1966
% .
\rhl{R}
\refJ Rice, J. R.;
Experiments on Gram-Schmidt orthogonalization;
\MC; 20; 1966; 325--328;

%Rice1967
% larry
\rhl{R}
\refJ Rice,  John R.;
Characterization of Tchebycheff approximations by splines;
\SJNA; 4; 1967; 557--565;

%Rice1968
% larry
\rhl{R}
\refJ Rice,  John R.;
Approximation formulas for physical data;
Pyrodynamics; 6; 1968; 231--256;
% origin of titanium heat data, standard test data in spline fitting

%Rice1969a
% . 19may96
\rhl{R}
\refP Rice, J. R.;
On the degree of convergence of nonlinear spline approximation;
\MadisonII; 349--365;

%Rice1969b
\rhl{R}
\refB Rice,  J. R.;
The Approximation of Functions Vol.\ II;
Addison-Wesley (Reading, Mass.); 1969;

%Rice1970
\rhl{R}
\refP Rice,  J. R.;
General purpose curve fitting;
\Talbot; 191--204;

%Rice1973
% larry
\rhl{R}
\refP Rice,  John R.;
On the computational complexity of approximation operators;
\TexasI; 449--456;

%Rice1976
% sonya
\rhl{R}
\refJ Rice,  John R.;
Adaptive approximation;
\JAT; 16; 1976; 329--337;

%Rice1977
% author
\rhl{R}
\refQ Rice,  John R.;
Remarks on piecewise polynomial approximation;
(Approximation of Functions), S. Ste\v ckin (ed.),
xxx (Moscow); 1977; 305--310;

%Rice1978
% author
\rhl{R}
\refP Rice,  John R.;
Multivariate piecewise polynomial approximations;
\HandscombII; 261--277;

%RiceRosenblatt1981
% sonya
\rhl{R}
\refJ Rice,  J. R., Rosenblatt, M.;
Integrated mean squared error of a smooth spline;
\JAT; XX; 1981;  353--369;

%RiceRosenblatt1983
% larry
\rhl{R}
\refJ Rice,  J. R., Rosenblatt, M.;
Smoothing splines, regression, derivatives and deconvolution;
Ann.\  Statist.; 11; 1983;  141--156;

%Richards1970
\rhl{R}
\refD Richards,  F. B.;
A generalized minimum norm property for
	 spline functions with applications;
Univ.\  of Wisc.; 1970;

%Richards1972
% larry
\rhl{R}
\refJ Richards,  F. B.;
On the saturation class for spline functions;
\PAMS; 33;  1972;  471--476;

%Richards1972b
% . 29apr97
\rhl{R}
\refR Richards,  F. B.;
Uniform cubic spline interpolation operators in $L_1$;
MRC TSR 1307; 1972;

%Richards1973
% sonya
\rhl{R}
\refJ Richards,  Franklin B.;
Best bounds for the uniform periodic
	 spline interpolation operator;
\JAT; 7; 1973; 302--317;

%Richards1974
\rhl{R}
\refJ Richards,  F. B.;
Uniform spline interpolation operators in $L_2$;
\IJM; 18; 1974;  516--521;

%Richards1975
% sonya
\rhl{R}
\refJ Richards,  F. B.;
The Lebesgue constants for cardinal spline interpolation;
\JAT; 14; 1975;  83--92;

%RichardsSchoenberg1973
% . carl
\rhl{R}
\refJ Richards,  F. B., Schoenberg, I. J.;
Notes on spline functions IV: A cardinal spline analogue of the theorem of
the brothers Markov;
\IsJM; 16; 1973; 94--102;
% MRC 1330: 1973:
%  $\max\{\norm{D^k s}/\norm{s} : s\in S_{n,\ZZ}\} = \norm{D^k{\cal E}_n}$,
% with the norm max-norm on $\RR$, and ${\cal E}_n$ the Euler spline.

%RichardsYoun1990
\rhl{R}
\refB Richards,  J. I., Youn, H. K.;
Theory of Distributions: A Non-Technical Introduction; 
Cambridge University Press (Cambridge); 1990;

%Richardson1954
% . 05mar08
\rhl{R}
\refB Richardson, C. H.;
An introduction to the calculus of finite differences;
Van Nostrand (New York); 1954;

%RichterDyn1971
% carl
\rhl{R}
\refJ Richter-Dyn,  Nira;
Minimal interpolation and approximation in Hilbert spaces;
\SJNA; 8; 1971; 583--597;

%RichterDyn1979
% carl, shayne 6aug96
\rhl{R}
\refJ Richter-Dyn, N.;
On best nonlinear approximation in sign--monotone norms and in norms induced 
   by inner products;
\SJNA; 16(4); 1979; 612--622;

%Riedel9x
% . 19may96
\rhl{R}
\refR Riedel, K.;
Piecewise convex function estimation: representations, duality and model
   selection;
ms; 1996;
% univariate spline smoothing with prescribed sign pattern for some
% derivative.

%Riemenschneider1976
\rhl{R}
\refJ Riemenschneider,  S. D.;
Convergence of interpolating cardinal splines: Power growth;
\IsJM; 23; 1976; 339--346;

%Riemenschneider1989
% larry
\rhl{R}
\refP Riemenschneider,  Sherman D.;
Multivariate cardinal interpolation;
\TexasVI;
561--580;

%RiemenschneiderJiaShen1990
% larry
\rhl{R}
\refP Riemenschneider,  S. D., Jia, R.-Q., Shen, Zuowei;
Multivariate splines and dimensions of kernels of linear operators;
\Duisburg; 261--274;

%RiemenschneiderScherer1987
% greg
\rhl{R}
\refJ Riemenschneider,  S., Scherer, K.;
Cardinal Hermite interpolation with box splines;
\CA; 3; 1987; 223--238;

%RiemenschneiderScherer1991
% carl
\rhl{R}
\refJ Riemenschneider,  Sherman D., Scherer, Karl;
Cardinal Hermite interpolation with box splines II;
\NM; 58; 1991; 591--602;

%RiemenschneiderShen1991
% larry
\rhl{R}
\refP Riemenschneider,  S. D., Shen, Zuowei;
Box splines, cardinal series, and wavelets;
\ChuiforLorentz; 133--149;

%RiemenschneiderShen1992
% carl
\rhl{R}
\refJ Riemenschneider,  S. D., Shen, Zuowei;
Wavelets and pre-wavelets in low dimensions;
\JAT; 71(1); 1992; 18--38;

%RiemenschneiderShen1995
% shen 07may96
\rhl{R}
\refJ Riemenschneider, S. D., Shen, Zuowei;
General interpolation on the lattice $h\ZZ^s$: compactly supported
   fundamental solutions;
\NM; 70; 1995; 18--38;

%RiemenschneiderShen1997
% shen 07may96 04mar10
\rhl{R}
\refJ Riemenschneider, S. D., Shen, Zuowei;
Multidimensional interpolatory subdivision schemes;
\SJNA; 34; 1997; 2357--2381;
% submitted November; 1995; 

%RiemenschneiderSivakumar2001
% carl 21jan02 04mar10
\rhl{}
\refJ Riemenschneider, Sherman, Sivakumar, N.;
On the cardinal-interpolation operator associated with the one-dimensional
   multiquadric;
\EJA; 7; 2001; 485--514;

%Riesenfeld1973
\rhl{R}
\refD Riesenfeld,  R.;
Applications of B-spline approximation to geometric
problems of computer-aided design;
Syracuse Univ.; 1973;
% also available as UTEC-CSc-73-126, Mar'73, Computer Science, University of
% Utah, Salt Lake City

%Riesenfeld1975
\rhl{R}
\refJ Riesenfeld,  R. F.;
On Chaikin's algorithm;
Computer Graphics and Image Processing;
4;
1975;
304--310;

%Riesenfeld1989a
% carl
\rhl{R}
\refP Riesenfeld,  R. F.;
Design tools for shaping spline models;
\Oslo; 499--520;

%Riesenfeld1993
% carl
\rhl{R}
\refP Riesenfeld,  Richard F.;
Modeling with NURBS curves and surfaces;
\Piegl; 77--98;
% expository

%Riesenfeld1999
\rhl{R}
\refR Riesenfeld,  R.;
Homogeneous coordinates and projective planes in computer graphics;
xx; 19xx;

%Riessinger1987
% larry
\rhl{R}
\refD Riessinger,  T.;
\"Uberlappungsapproximation auf $[0,\infty)$;
Mannheim; 1987;

%Riessinger1990
\rhl{R}
\refR Riessinger,  T.;
Non-regular interpolation problems by generalized spline-spaces with the 
interlacing property;
Univ.\ Mannheim, Germany; xxx;

%Riessinger1990
\rhl{R}
\refR Riessinger,  T.;
Bases for bivariate spline spaces---a constructive approach;
Manuskript No.\ 110 der Fakult\"at f\"ur Mathematik und Informatik der 
Universit\"at Mannheim; 1990;

%Riessinger1999
\rhl{R}
\refR Riessinger,  T.;
Biquadratic spline-interpolation on a four-directional mesh;
Univ.\ Mannheim; xxx;

%Riestra1995
% shayne 10nov97
\rhl{R}
\refB Riestra, J.-A.;
A Generalized Taylor's Formula for Functions of Several Variables and 
   Certain of Its Applications;
Longman (England); 1995;

%Riesz1909
% . 23jun03
\rhl{}
\refJ Riesz, Fr\'ed\'eric;
Sur les operations fonctionelles lin\'eaires;
\CRASP; 149; 1909; 974--977;
% Riesz Representation Theorem for bounded lfl's on C[a..b]

%Riordan1946
% carl 04mar10
\rhl{}
\refJ Riordan, J.;
Derivatives of composite functions;
\BAMS; 52(8); 1946; 664--667;
% univariate, Fraa di Bruno, Bell polynomials

%Riordan1968
% Shayne 22may98
\rhl{R}
\refB Riordan, J.;
Combinatorial Identities;
Wiley (New York); 1968;
% has interesting section on the central difference operator

%Rioul1992
\rhl{R}
\refR Rioul,  O.;
Dyadic up-scaling schemes: simple criteria for regularity; 
\SJMA; submitted; 

%Rioul1994
% larry
\rhl{R}
\refP Rioul, O.;
H\"older regularity of subdivision schemes and wavelets;
\ChamonixIIb; 437--444;

%RioulVetterli1991a
\rhl{R}
\refJ Rioul,  O., Vetterli, M.;
Wavelets and signal processing;
IEEE Signal Proocessing Magazine;  8; 1991; 14--38;

%Ripmeester1995
% larry Lai-Schumaker book
\rhl{Rip95}
\refP Ripmeester, D. J.;
Upper bounds on the dimension of bivariate spline spaces and duality
   in the plane;
\Ulvik; 455--466;

%Rippa1984
\rhl{R}
\refR Rippa,  S.;
Interpolation and smoothing of scattered data by radial basis functions;
M. S. Thesis, Tel Aviv University; 1984;

%Rippa1989
\rhl{R}
\refR Rippa,  S.;
Data compression using adaptive piecewise linear approximation;
manuscript; 1989;

%Rippa1990
% greg
\rhl{R}
\refJ Rippa,  S.;
Minimal roughness property of the Delaunay triangulation;
\CAGD; 7; 1990; 489--497;

%Rippa1990
% larry
\rhl{R}
\refD Rippa,  S.;
Piecewise linear interpolation and approximation schemes defined over data 
dependent triangulations;
Tel-Aviv Univ.; 1990;

%Rippa1992a
% sherm, pagination update
\rhl{R}
\refJ Rippa,  S.;
Long and thin triangles can be good for linear interpolation;
\SJNA; 29(1); 1992; 257--270;

%Rippa1992b
% . 05feb96
\rhl{R}
\refR Rippa, S.;
On software for radial basis functions;
Univ.\ Cambridge Numer.\ Anal.\ Report, DAMTP 1992/ NA 3; 1992;

%RippaSchiff1989
\rhl{R}
\refR Rippa,  S., Schiff, B.;
Minimum energy triangulations for elliptic problems;
Tel Aviv Univ.; 1989;

%Rishing1973
% peter Lai-Schumaker book
\rhl{Rus73}
\refB Rushing, B.;
Topological Embeddings;
Academic Press (New York); 1973;

%Ritchie1978
\rhl{R}
\refR Ritchie,  S. I. M.;
Surface representation by finite elements;
M. S. Thesis, Univ.\ Calgary; 1978;

%Ritter1969
% larry
\rhl{R}
\refJ Ritter,  K.;
Two dimensional splines and their extremal properties;
Z. Angew.\ Math.\ Mech.; 49; 1969; 597--608;

%Ritter1970
% sonya
\rhl{R}
\refJ Ritter,  K.;
Two-dimensional spline functions and best approximations
of linear functionals;
\JAT; 3; 1970; 352--368;

%Rivara1987
\rhl{R}
\refP Rivara,  M. C.;
Numerical generation of nested series of general triangular grids;
\Chile; 193--206;

%Rivlin1969
\rhl{R}
\refB Rivlin,  T. J.;
An Introduction to the Approximation of Functions;
Blaisdell (Walton, Mass); 1969;

%Rivlin1974a
\rhl{R}
\refR Rivlin,  T. J.;
Optimally stable Lagrangian numerical differentiation;
IBM; 1974;

%Rivlin1974b
% carl
\rhl{R}
\refB Rivlin,  Theodore J.;
The Chebyshev Polynomials;
John Wiley and Sons (New York); 1974;

%Rivlin1974c
% carlbooks 08apr04
\rhl{}
\refP Rivlin, T. J.;
The Lebesgue constant for polynomial interpolation;
\Madras; 422--438;

%Rivlin1979
% carl 26aug98
\rhl{R}
\refP Rivlin,  T. J.;
A survey of recent results in optimal recovery;
\Sahney; 225--245;

%Rivlin1981
\rhl{R}
\refR Rivlin,  T. J.;
The optimal recovery of functions;
IBM; 1981;

%RivlinCheney1966
% larry
\rhl{R}
\refJ Rivlin,  T. J., Cheney, E. W.;
A comparison of uniform approximations on an interval and a finite subset
thereof;
\SJNA; 3; 1966; 311--320;

%RivlinSibner1965
\rhl{R}
\refJ Rivlin,  T. J., Sibner, R. J.;
The degree of approximation of certain functions of two variables
by the sum of functions of one variable;
Amer.\ Math.\ Monthly; 72; 1965; 1101--1103;

%RivlinWinograd1974
\rhl{R}
\refR Rivlin,  T. J., Winograd, S.;
The optimal recovery of smooth functions;
IBM Rpt.; 1974;

%Rjabenki1975
\rhl{R}
\refJ Rjabenki,  V. S.;
Local splines;
Comput.\  Meth.\ Appl.\  Mech.\  Engrg.; 5; 1975;	211--215;

%RoarkShampine1967
\rhl{R}
\refR Roark,  A. L., Shampine, L. F.;
On the numerical solution of a linear two-point boundary value problem;
Sandia; 1967;

%Robbiano1986
% . 14may99
\rhl{R}
\refJ Robbiano, L.;
On the theory of graded structures;
J. Symbolic Computation; 2; 1986; 139--170;

%Robert1971
% larry
\rhl{R}
\refJ Robert,  J.;
Approximations des espaces d'Orlicz et applications;
\NM; 17; 1971; 338--356;

%Roberts1982
\rhl{R}
\refJ Roberts,  A.;
Automatic topology generation and generalized B-spline mapping;
Appl.\ Math.\ Comput.; 10; 1982; 465--486;

%RobertsTarassenko1991
\rhl{R}
\refR Roberts,  S., Tarassenko, L.;
A new method of automated sleep quantification; 
Oxford University Engineering Laboratory Report No.\ 1875; 1991;

%RobertsVarberg1973
% . 19nov95
\rhl{R}
\refB Roberts, A. W., Varberg, D. E.;
Convex functions;
Academic Press (); 1973;

%Robinson1970
% larry
\rhl{R}
\refJ Robinson,  J. E.;
Spatial filtering of geological data;
Review of the International Stat.\ Inst.; 38; 1970; 21--34;

%RobinsonCharlesworthEllis1969
% larry
\rhl{R}
\refJ Robinson,  J. E., Charlesworth, H. A. K., Ellis, M. J.;
Structural analysis using spatial filtering in interior plains of
South-central Alberta;
Amer.\ Assoc.\ Petroleum Geol.\ Bull.; 53; 1969; 2341--2367;

%RobinsonFairweather1994
% carl
\rhl{R}
\refJ Robinson, Mark P., Fairweather, Graeme;
Orthogonal spline collocation methods for Schr\"odinger-type equations in one
space variable;
\NM; 68; 1994; 355--376;
% collocation at Gauss points used for space discretization of 
% $i u_t + u_{xx} + q|u|^2u = 0$ on $\RR\times(0..T]$ with  $u(\cdot,0)$ given.

%RogersAdams1976
\rhl{R}
\refB Rogers,  David F., Adams, J. Alan;
Mathematical Elements for Computer Graphics;
McGraw-Hill (xxx); 1976;

%RogersFog1989
% kersey 20jun97
\rhl{RF89}
\refJ Rogers, R. F., Fog, N. G.;
Constrained B-spline curve and surface fitting;
\CAD; 21, \#10; 1989; 641--648;

%Rogina1990
\rhl{R}
\refR Rogina,  M.;
Collocation by singular splines;
Univ.\ of Zagreb; 1990;

%Rogina1991
\rhl{R}
\refR Rogina,  M.;
Basis of splines associated with some singular differential operators;
Univ.\ of Zagreb; 1991;

%Rogina1997
% larry 10sep99
\rhl{R}
\rhl{R}
\refP Rogina, M.;
A knot insertion algorithm for weighted cubic splines;
\ChamonixIIIa; 387--394;

%RoginaBosner2000
% larry 20apr00
\rhl{}
\refP Rogina, Mladen, Bosner, Tina;
On calculating with lower order Chebyshev splines;
\Stmalod; 343--352;

%Rohwer1984
\rhl{R}
\refR Rohwer,  C. H.;
Nodal subspaces of quadratic spline spaces;
South Africa; 1984;

%Ron0x
% carl 20apr00
\rhl{R}
\refQ Ron, Amos;
Introduction to Shift-Invariant Spaces I: Linear Independence;
(Multivariate Approximation and Applications),
A. Pinkus, D. Leviatan, N. Dyn, and D. Levin (eds.),
Cambridge University Press (Cambridge); 200x; xxx--xxx;

%Ron1987a
% larry
\rhl{R}
\refD Ron,  A.;
On exponential box splines and other types of non-polynomial B-splines;
Tel Aviv Univ.; 1987;

%Ron1988
% greg
\rhl{R}
\refJ Ron,  A.;
Exponential box splines;
\CA; 4; 1988; 357--378;

%Ron1989a
% larry
\rhl{R}
\refR Ron,  A.;
A characterization of the approximation order of multivariate splines;
\SM; 98; 1991; 73--90;

%Ron1989b
\rhl{R}
\refR Ron,  A.;
On the convolution of a box spline with a compactly supported 
distribution: the exponential-polynomials in the linear span;
CS--TR 813, University of Wisconsin, Madison;
1989;

%Ron1989c
% greg 19nov95
\rhl{R}
\refJ Ron,  A.;
A necessary and sufficient condition for the linear independence of the
   integer translates of a compactly supported distribution;
\CA; 5(3); 1989; 297--308;

%Ron1990c
\rhl{R}
\refJ Ron,  A.;
Factorization theorems of univariate splines on regular grids;
\IsJM; 70; 1990; 48--68;

%Ron1990d
% carl
\rhl{R}
\refJ Ron,  A.;
Relations between the support of a compactly supported function and the
exponential-polynomials spanned by its integer translates;
\CA; 6; 1990; 139--155;

%Ron1991a
% carl
\rhl{R}
\refJ Ron,  A.;
A characterization of the approximation order of multivariate spline spaces;
\SM; 98(1); 1991; 73--90; 

%Ron1991b
% sonya
\rhl{R}
\refJ Ron,  A.;
On the convolution of a box spline with a compactly supported
distribution:  the exponential-polynomials in the linear span;
\JAT; 66; 1991; 266--278;

%Ron1992a
% carl
\rhl{R}
\refJ Ron,  A.;
Remarks on the linear independence of integer translates of exponential
box splines;
% CSTR 943, University of Wisconsin, Madison, 1990
\JAT; 71(1); 1992; 61--66;

%Ron1992b
% sherm
\rhl{R}
\refJ Ron,  A.;
Linear independence of the translates of an exponential box spline;
\RMJM; 22; 1992; 331--351;

%Ron1992c
% carl
\rhl{R}
\refP Ron,  A.;
The $L_2$-approximation orders of principal shift-invariant spaces generated by
a radial basis function;
\Nmatnion; 245--268;

%Ron1992d
% carl, correct misspelling 20feb96 12mar97
\rhl{R}
\refR Ron, A.;
Characterizations of linear independence and stability of the shifts of a
   univariate refinable function in terms of its refinement mask;
CMS TSR \#93-3, U.Wisconsin-Madison; 1992;

%Ron1994a
% carl
\rhl{R}
\refJ Ron, A.;
Negative observations concerning approximations from spaces generated by 
scattered shifts of functions vanishing at $\infty$;
\JAT; 78(3); 1994; 364--372;

%Ron1995a
% carl 14sep95
\rhl{R}
\refJ Ron, A.;
Approximation orders of and approximation maps from
   local principal shift-invariant spaces;
\JAT; 81(1); 1995; 38--65;

%Ron1997
% . 14sep95 20feb96 10nov97
\rhl{R}
\refJ Ron, A.;
Smooth refinable functions provide good approximation orders;
\SJMA; 28; 1997; 731--748;

%Ron1997b
% . 26aug98
\rhl{R}
\refJ Ron, A.;
Smooth refinable functions provide good approximation orders;
\SJMA; 28; 1997; 731--748;

%Ron1998a
% . 26aug98
\rhl{R}
\refP Ron,  A.;
Wavelets and their associated operators;
\TexasIXc; 283--317;

%RonShen1994a
% . 14sep95
\rhl{R}
\refQ Ron, A., Shen, Zuowei;
Frames and stable bases for subspaces of $L_2(\RR^d)$: the duality
   principle of Weyl-Heisenberg sets;
(Proceedings of the Lanczos International Centenary Conference, Raleigh, NC, 
1993),  D. Brown, M. Chu, D. Ellison,  and  R. Plemmons (eds.),
 SIAM Pub.{} (Philadelphia); 1994; 422--425;

%RonShen1995a
% . 14sep95
\rhl{R}
\refP Ron, A., Shen, Zuowei;
Gramian analysis of affine bases and affine frames;
\TexasVIIIw; xxx--xxx;

%RonShen1995b
% carl 7sep95, 31 oct 95
\rhl{R}
\refJ Ron,  A., Shen, Zuowei;
Frames and stable bases for shift-invariant subspaces of $L_2(\RR^d)$;
\CJM; 47(5); 1995; 1051--1094;
% CMS TSR \#94-7, February, 1994,
% Bessel sequences, wavelets, splines

%RonShen1997c
% author 22may98
\rhl{R}
\refJ Ron, Amos, Shen, Zuowei;
Affine systems in $L_2(\Rd)$ II: dual systems;
\JFAA; 3; 1997; 617--637;

%RonShen1997d
% amos 12mar97 22may98
\rhl{R}
\refJ Ron,  A., Shen, Zuowei;
Weyl-Heisenberg frames and Riesz bases in $L_2(\RR^d)$;
\DMJ; 89; 1997; 237--282;
% CMS TSR \#95-03, October; 1994;
% Bessel sequences, wavelets, splines, Gabor

%RonShen1997e
% . 20feb96 12mar97 22may98
\rhl{R}
\refJ Ron, A., Shen, Zuowei;
Affine systems in $L_2(\RR^d)$: the analysis of the analysis operator;
\JFA; 148; 1997; 408--447;
% CMS TSR \#96-2; 1995;

%RonShen1998a
% . 20feb96 12mar97 22may98
\rhl{R}
\refJ Ron, A., Shen, Zuowei;
Compactly supported tight affine spline frames in $L_2(\RR^d)$;
\MC; 67; 1998; 191--207;
% CMS TSR \#96-x; 1996;

%RonShen1998b
% . 26aug98
\rhl{R}
\refQ Ron, A., Shen, Zuowei;
Construction of compactly supported affine frames in $L_2(\RR^d)$;
(Advances in Wavelets), K. S. Lau (ed.), Springer-Verlag (New York); 1998;
27--50;

%RonShen2000a
% amos 20jun97 20apr00
\rhl{R}
\refJ Ron, A., Shen, Zuowei;
The Sobolev regularity of refinable functions;
\JAT; 106(2); 2000; 185--225;
% submitted 1997

%RonShenToh2001
% . 26aug98 21jan02
% amos
\rhl{R}
\refJ Ron,  A., Shen, Z., Toh, K.-C.;
Computing the Sobolev regularity of refinable functions by the Arnoldi Method;
\SJMAA; 23(1); 2001; 57--76;
% manuspript; 1998;

%RonSivakumar1993
% sherm
\rhl{R}
\refJ Ron,  A., Sivakumar, N.;
The approximation order of box spline spaces;
\PAMS; 117; 1993; 473--482;

%RonSun1996
% . 20feb96 12mar97
\rhl{R}
\refJ Ron, A., Sun, Xingping;
Strictly positive definite functions on spheres;
\MC; 65(216); 1996; 1513--1530;
% Univ.\ Wisconsin; 1994;

%RooijSchurer1974
% . 22may98
\rhl{R}
\refP Rooij, P. L. J. van, Schurer, F.;
A bibliography on spline functions;
\BoehmerI; 315--415;

%RooijSchurerWaltvanPraagvan1975
\rhl{R}
\refR Rooij, P. L. J. van, Schurer, F., Walt van Praag, C. R. van;
A bibliography on Hermite-Birkhof interpolation;
Eindhoven; 1975;

%Ropela1999
\rhl{R}
\refJ Ropela,  S.;
Decomposition lemma and unconditional spline bases;
Bull.\ Acad.\ Polonaise Sci.; xx; xx; xx;

%Ropela1999b
\rhl{R}
\refJ Ropela,  S.;
Spline bases in Besov spaces;
Bull.\ Acad.\ Polonaise Sci.; xx; xx; xx;

%Roschel1998
% . 02feb01
\rhl{}
\refJ R\"oschel, O.;
Rational motion design -- a survey;
\CAD; 30(3); 1998; 169--178;
% interpolation of motion by rational splines

%Rose1996a
% carl 5dec96
\rhl{R}
\refJ Rose, Lauren L.;
Module bases for multivariate splines;
\JAT; 86(1); 1996; 13--20;

%Rosen1971
% larry
\rhl{R}
\refJ Rosen,  J. B.;
Minimum error bounds for multidimensional spline approximation;
J. Comput.\ Sys.\ Sci.; 5; 1971; 430--452;

%RosenLaFata1971
\rhl{R}
\refR Rosen,  J. B., LaFata, P.;
Interactive graphical spline approximation to boundary value problems;
U. Wis.; 1971;

%RosenMeyer1967
% larry
\rhl{R}
\refQ Rosen,  J. B., Meyer, R.;
Solution of nonlinear two-point boundary value problems by linear programming;
(Mathematical Theory of Control), Balakrishnen and Neustadt (eds.),
Academic Press (New York); 1967; 71--84;

%Rosenblatt1964
\rhl{R}
\refJ Rosenblum,  M.;
Some Hilbert space extremal problems;
xx; xx; xx; 687--691;

%Rosenblatt1975
% sonya
\rhl{R}
\refJ Rosenblatt,  M.;
The local behavior of the derivative of a
	 cubic spline interpolator;
\JAT; 15; 1975; 382--387;

%Rosenblatt1976
% sonya
\rhl{R}
\refJ Rosenblatt,  M.;
Asymptotics and representation of cubic splines;
\JAT; 17; 1976;  332--343;

%Rosier1995a
% carl 20feb96
\rhl{R}
\refJ Rosier, Michael;
Biorthogonal decompositions of the Radon transform;
\NM; 72; 1995; 263--283;
% multivariate Appell polynomials,  biorthogonality may be the way to go
% in a multivariate setting.

%Rosman1970
% larry
\rhl{R}
\refJ Rosman,  B. H.;
Extension of results of by Rice and Schumaker on spline approximation;
\SJNA; 7; 1970; 314--316;

%Rosman1973
\rhl{R}
\refJ Rosman,  B. H.;
Another approach to the cubic interpolating spline;
Amer.\  Math.\  Monthly; 80; 1973; 927--930;

%RossignolDaniel2000
% larry 20apr00
\rhl{}
\refP Rossignol, Vincent, Daniel, Marc;
A declarative modeler for B-spline curves;
\Stmalod; 353--362;

%RotaStrang1960a
% hogan 24feb98 22may98
\rhl{R}
\refJ Rota, G.-C., Strang, G.;
A note on the joint spectral radius;
Indag.\ Math.; 22; 1960; 379--381;
% wavelets

%Roulier1980
\rhl{R}
\refJ Roulier,  J. A.;
Constrained interpolation;
\SJSSC; 1; 1980; 333--334;

%Roulier1985
\rhl{R}
\refR Roulier,  J. A.;
A convexity preserving grid refinement algorithm for interpolation
of bivariate functions;
Rpt.\ Univ.\ Connecticut; 1985;

%RoulierPiper1994
% larry
\rhl{R}
\refP Roulier, J. A., Piper, B.;
Interpolation with an arc length constraint;
\ChamonixIIa; 393--400;

%Roux1994
% larry
\rhl{R}
\refP Roux, J.-C.;
Curves reconstruction;
\ChamonixIIa; 401--408;

%Royden1988a
% shayne 19may96
\rhl{R}
\refB Royden, H. L.;
Real Analysis;
Macmillan (New York); 1988;
% Third Edition
% An introduction to real analysis

%Rozhenko0x
% author 04mar10
\rhl{}
\refB Rozhenko, A. J.;
Spline software ``Sdm.net: Splines for Data Mining under dot.net'';
{\tt http://sites.google.com/site/arozhenkosite/sdm}, (Novosibirsk); 200x;

%Rozhenko1993
% carlrefs 20nov03
\rhl{}
\refJ Rozhenko, A. J.;
Variational rational splines of many variables;
Bull.\ Novosibirsk Comp.\ Center; 1; 1993; 63--85;

%Rozhenko1996
% author 04mar10
\rhl{}
\refJ Rozhenko, A. J.;
On optimal choice of spline-smoothing parameter;
Bull.\ Novosibirsk Comp.\ Center; 7; 1996; 79--86;

%Rozhenko1999
% author 04mar10
\rhl{}
\refB Rozhenko, A. J.;
Abstract Theory of Splines (in Russian);
Novosibirsk Comp.\ Center, (Novosibirsk); 1999;
% textbook

%RozhenkoVasilenko1995a
% carl 05feb96
\rhl{R}
\refJ Rozhenko, A. I., Vasilenko, V. A.;
Variational approach in abstract splines: Achievments and open problems;
\EJA; 1(3); 1995; 277--308;
% spelling mistake in original title.

%RubelVenkateswaran1977
\rhl{R}
\refR Rubel,  L. A., Venkateswaran, S.;
Uniform approximation by splines of polynomials and entire functions;
Univ.\ Ill.; 1977;

%Rudin1958
% peter Lai-Schumaker book
\rhl{Rud58}
\refJ Rudin, M. E.;
An unshellable triangulation of a tetrahedron;
\BAMS; 64; 1958; 90--91;

%Rudin1970
% . 10nov97
\rhl{R}
\refB Rudin, Walter;
Real and Complex Analysis;
McGraw-Hill (New York); 1970;

%Rudin1973
% carl 29apr97
\rhl{R}
\refB Rudin, Walter;
Functional Analysis;
McGraw-Hill (New York); 1973;

%RudinME1958a
% peter
\rhl{R}
\refJ Rudin,  M. E.;
An unshellable triangulation of a tetrahedron;
\BAMS; 64; 1958; 90--91;

%RumelhartHintonMcCelland1986
\rhl{R}
\refB Rumelhart,  D. E., Hinton, G. E., McCelland, J. L.;
Parallel distributed processing: 
explorations in the microstructure of cognition; 
Vol I: Foundations, MIT Press (xxx); 1986;

%Runge2001
% . 08apr04
\rhl{}
\refJ Runge, C.;
\"Uber empirische Funktionen und die Interpolation zwischen \"aquidistanten
   Ordinaten;
Z. f\"ur Math.\ u.\ Phys.; 46; 1901; 224--243;
% LH 7Z3 M42
% the Runge example

%RungeR1972
% werner 26aug98
\rhl{R}
\refD Runge, R.;
L\"osung von Anfangswertproblemen mit Hilfe nichtlinearer Klassen von
   Spline-Funktionen;
M\"unster (Germany); 1972;
% see Werner79a

%RungeWillers2x
% Steffensen27:18 08apr04
\rhl{}
\refQ Runge, C., Willers, ?.;
Numerische und graphische Integration;
(Encyklop\"adie der mathematischen Wissenschaften, Bd.\ II), xxx (eds.),
Springer-Verlag (Berlin); 192x; 67--xxx;
% Genocchi-Hermite

%Rungexx
% .
\rhl{R} 08apr04^M\rhl{}
\refB Runge,  C.;
Theorie und Praxis der Reihen;
xxx (xxx); 19xx;

%RussellD1979
% author 03apr06
\rhl{}
\refB Russell, D. L.;
Mathematics of Finite Dimensional Control Systems: Theory and Design;
Marcel Dekker (New York); 1979;

%RussellShampine1972
% author 21nov08
\rhl{RS}
\refJ Russell,  R. D., Shampine, L. F.;
A collocation method for boundary value problems.\ (I. and II.);
\NM; 19; 1972; 1--28;

%RussellShampine1999
\rhl{R}
\refR Russell,  R. D., Shampine, L. F.;
A collocation method for boundary value problems.\ I.;
SJNA; 19xx;

%Rutherford1972
\rhl{R}
\refJ Rutherford,  I. D.;
Data assimilation by statistical interpolation of forecast error fields;
J. Atmos.\ Sci.; 29; 1972; 809--815;

%Rutishauser1960
% larry, carl
\rhl{R}
\refJ Rutishauser, Heinz;
Bemerkungen zur glatten Interpolation;
\ZAMP; 11; 1960;  508--513;
% more or less smooth piecewise polynomial interpolation in a table.
% Greville: this is all already in Jenkins26

%Rvachev1990a
\rhl{R}
\refJ Rvachev,  V. A.;
Compactly supported solutions of functional-differential
equations and their applications;
Russian Math.\ Surveys;  45; 1990; 87--120;

%RvachevSheiko1995
% . 02feb01
\rhl{}
\refJ Rvachev, V. L., Sheiko, T. I.;
R-functions in boundary value problems in mechanics;
Applied Mechanics Reviews; 48(4); 1995; 151--188;
% good summary of the work of Rvachev and his collaborators

%RvachevSheikoShapiroVTsukanov2000
% author 02feb01
\rhl{}
\refJ Rvachev, V. L., Sheiko, T. I., Shapiro, V., Tsukanov, I.;
On completeness of RFM solution structures;
Comp.\ Mechanics; 25(2/3); 2000; xxx--xxx;
% R-functions B-splines, BVP

%Ryabenkii1975
% carl 04mar10
\rhl{R}
\refJ Ryabenkii, V. S.;
Local splines;
Computer Methods in Applied Mechanics and Engineering; 5; 1975; 211--225;
% piecewise polynomial interpolation to data on a rectangular grid with
% a bound on some derivatives in terms of the corresponding divided
% differences of the data.

%Ryll1973
% larry
\rhl{R}
\refJ Ryll,  J.;
Schauder bases for the space of continuous functions on an $n$-dimensional
cube;
Annal.\ Soc.\ Math.\ Polonae; 17; 1973; 201--213;

%Ryll1978
% larry
\rhl{R}
\refJ Ryll,  J.;
Interpolating bases for spaces of differentiable functions;
Studia Math.; 63; 1978; 125--144;