papers from 1990-94 at ftp.cs.wisc.edu/Approx

These files can be obtained by anonymous from ftp.cs.wisc.edu/Approx. The files are postscript, and are also available as compress(ed) files, as indicated by the subscript .Z, to be uncompress(ed) before using, as well as as (shorter) gzip(ed) files, as indicated by the subscript .gz, to be extracted by gzip -d .
The files are now also available in pdf. For those from before '98, these pdf files might not look very good in an acrobat reader, but will print just fine.
If you have trouble because of file contamination, specify binary as your first command in ftp.
The files are in order of increasing age.

upbound: ps ps.Z ps.gz pdf
An upper bound on the approximation power of principal shift-invariant spaces
Michael J. Johnson
December 1994
appeared in:
\CA; 13(2); 1997; 155--176;

lowbound: ps ps.Z ps.gz pdf
On the approximation power of principal shift-invariant subspaces of $L_p(R^d)$
Michael J. Johnson
December 1994
\JAT; 91(3); 1997; 279--319;

wh: ps ps.Z ps.gz pdf
Weyl-Heisenberg frames and Riesz bases in $L_2(\Rd)$
Amos Ron and Zuowei Shen
October 1994
Duke Math. J. {\bf 89} (1997), 237-282.

symmetries: ps ps.Z ps.gz pdf
Symmetries of linear functionals
Shayne Waldron
October 1994
\TexasVIIIa; 541--550;

hardy: ps ps.Z ps.gz pdf
A multivariate form of Hardy's inequality and $L_p$-error bounds for multivariate Lagrange interpolation schemes
Shayne Waldron
August 1994
\SJMA; 28(1); 1997; 233--258;

lift: ps ps.Z ps.gz pdf
Integral error formul{\ae} for the scale of mean value interpolations which includes Kergin and Hakopian interpolation
Shayne Waldron
July 1994
\NM; 77(1); 1997; 105--122;

hermite: ps ps.Z ps.gz pdf
$L_p$-error bounds for Hermite interpolation and the associated Wirtinger inequalities
Shayne Waldron
May 1994
\CA; 13(4); 1997; 461--679;

extremising: ps ps.Z ps.gz pdf
Extremising the $L_p$-norm of a monic polynomial with roots in a given interval and Hermite interpolation
Shayne Waldron
May 1994

polintelim: ps ps.Z ps.gz pdf
Gauss elimination by segments and multivariate polynomial interpolation
Carl de Boor
March 1994
in (Approximation and Computation), R.V.M. Zahar (ed.),
ISNM 119, Birkh\"auser Verlag (Basel-Boston-Berlin); 1994; 1--22;

sphere: ps ps.Z ps.gz pdf
Strictly positive definite functions on spheres
Amos Ron and Xingping Sun
February 1994
\MC; 65(216); 1996; 1513--1530;

frame1: ps ps.Z ps.gz pdf
Frames and stable bases for shift-invariant subspaces of $L_2(\Rd)$
Amos Ron and Zuowei Shen
February 1994
appeared in Canad. Math. J.
\CJM; 47(5); 1995; 1051--1094;

pscattered: ps ps.Z ps.gz pdf
$L^p$-approximation orders with scattered centres
Martin D. Buhmann and Amos Ron
January 1994
\ChamonixIIb; 93--112;

scattered: ps ps.Z ps.gz pdf
Radial basis function approximation: from gridded centers to scattered centers
Nira Dyn and Amos Ron
November 1993
appeared in Proc. London Math. Soc. (1995)
\PLMS; 71(3); 1995; 76--108;

approxloc: ps ps.Z ps.gz pdf
Approximation orders of and approximation maps from local principal shift-invariant spaces
Amos Ron
May 1993
\JAT; 81(1); 1995; 38--65;

wav2: ps ps.Z ps.gz pdf
Multiresolution analysis by infinitely differentiable compactly supported functions
Nira Dyn, Amos Ron
September 1992
ACHA (1995)

stablemask: ps ps.Z ps.gz pdf
Characterizations of linear independence and stability of the shifts of a univariate refinable function in terms of its refinement mask
Amos Ron
September 1992

sct1: ps ps.Z ps.gz pdf
Negative observations concerning approximations from spaces generated by scattered shifts of functions vanishing at $\infty$
Amos Ron
September 1992
has appeared in J. Approx. Theory; 78(3); 1994; 364--372;

aowoquasi: ps ps.Z ps.gz pdf
Approximation order without quasi-interpolants
Carl de Boor
August 1992
has appeared in \TexasVII; 1--18;

ker: ps ps.Z ps.gz pdf
On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators
Carl de Boor, Amos Ron, Zuowei Shen
June 1992
updated Apr 96 to reflect copy editor's changes
has appeared in Adv. Applied Math; 17; 1996; 209--250;

aoradial: ps ps.Z ps.gz pdf
The $L_2$-Approximation Orders of Principal Shift-Invariant Spaces Generated by a Radial Basis Function
Amos Ron
March 1992
has appeared in \Nmatnion; 245--268;

aobivar: ps ps.Z ps.gz pdf
A sharp upper bound on the approximation order of smooth bivariate pp functions
Carl de Boor and Rong-Qing Jia
March 1992
has appeared in J.Approx.Theory; 72(1); 1993; 24--33;

wavelet: ps ps.Z ps.gz pdf
On the construction of multivariate (pre)wavelets
Carl de Boor, Ronald A. DeVore, Amos Ron
February 1992
has appeared in Constr.Approx.; 9; 1993; 123--166;

several: ps ps.Z ps.gz pdf
The structure of finitely generated shift-invariant spaces in $L_2(\RR^d)$
Carl de Boor, Ronald A. DeVore, Amos Ron
February 1992
has appeared in J. of Functional Analysis 119(1); 1994; 37--78;
% minor correction in intro 01feb01

polinterr: ps ps.Z ps.gz pdf
On the error in multivariate polynomial interpolation
Carl de Boor
1991
has appeared in Applied Numerical Mathematics; 10; 1992; 297--305;

l2shift: ps ps.Z ps.gz pdf
Approximation from shift-invariant subspaces of $L_2(\RR^d)$
Carl de Boor, Ronald A. DeVore, Amos Ron
July 1991
has appeared in Trans.Amer.Math.Soc. 341; 1994; 787--806;
% note, this file has the name `ell-2-shift', not `one-two-shift'.
% misprint corrected: 19oct94, 17nov97

aoinfty: ps ps.Z ps.gz pdf
Fourier analysis of the approximation power of principal shift-invariant spaces
Carl de Boor, Amos Ron
July 1991
has appeared in Constr.Approx.; 8; 1992; 427--462;

quasiaprx: ps ps.Z ps.gz pdf
Quasiinterpolants and approximation power of multivariate splines
Carl de Boor
July 1990
has appeared in
(Computations of curves and surfaces), Dahmen, Gasca, Micchelli
(eds.), Kluwer (Dordrecht, Netherlands); 1990; 313--345;

leastsol: ps ps.Z ps.gz pdf
The least solution for the polynomial interpolation problem;
Carl de Boor, Amos Ron
June 1990
has appeared in Math.Zeitschrift; 210; 1992; 347--378;

compleast
Computational aspects of polynomial interpolation in several variables
Carl de Boor, Amos Ron
March 1990
has appeared in Math.Comp.; 58; 1992; 705--727;

empty: ps ps.Z ps.gz pdf
An empty exercise
Carl de Boor
March 1990
has appeared in
ACM SIGNUM Newsletter; 25(4); 1990; 2--6;

polintconte: ps ps.Z ps.gz pdf
Polynomial interpolation in several variables
Carl de Boor
March 1990
has appeared in
(Studies in Computer Science {(in Honor of Samuel D. Conte)}),
R. DeMillo and J. R. Rice (eds.), Plenum Press (New York); 1994; 87--119;

modest: ps ps.Z ps.gz pdf
An alternative approach to (the teaching of) rank and dimension
Carl de Boor
February 1990
has appeared in
\LAA; 146; 1991; 221--229;

verbatim.tex
A file of plain TeX macros useful for handling the typesetting of programs and program-related material in plain TeX.
Carl de Boor
1991
version: 25feb98

index.tex
A file of plain TeX macros useful for generating (the draft of) an index.
Carl de Boor
1993
version: 27jun98

journal.tex
TeX macros of use with the spline bibliography.
Carl de Boor
1990
version: 05jun04

proceed.tex
TeX macros of use with the spline bibliography.
Carl de Boor
1990
version: 02may04

refmac.tex
TeX macros of use with the spline bibliography.
Carl de Boor
1990
version: 27may04