Amos Ron's papers 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.
liron: ps ps.Z
ps.gz pdf
External zonotopal algebra;
Nan Li and Amos Ron
april 2011
hangron: ps ps.Z
ps.gz pdf
Nonlinear Approximation Using Gaussian Kernels;
Thomas Hangelbroek and Amos Ron
2010
appeared in:
JFA; xx(x); 2010; xxx--xxx;
hrx: ps ps.Z
ps.gz pdf
Hierarchical zonotopal spaces;
Olga Holtz, Zhiqiang Xu and Amos Ron
october 2009
to appear in
TAMS; xx(x); 201x; xxx-xxx;
ard: ps ps.Z
ps.gz pdf
Approximation using scattered shifts of a multivariate function;
Ronald DeVore and Amos Ron
feb 2008
TAMS; xx(x); 2010; xxx-xxx;
zonotopes: ps ps.Z
ps.gz pdf
Zonotopal algebra;
Olga Holtz and Amos Ron
september 2007
boxsubdv: ps ps.Z
ps.gz pdf
Box splines revisited: convergence and acceleration methods for the subdivision and the cascade algorithms;
Carl de Boor and Amos Ron
december 2006
\JAT; 150(1); 2008; 1--23;
apframes: ps ps.Z
ps.gz pdf
Time frequency representations of almost-periodic functions;
Yeon Hyang Kim and Amos Ron
decenber 2006
\CA; xx; 2008; xxx--xxx;
lcamp: ps ps.Z
ps.gz pdf
L-CAMP: Extremely local high-performance wavelet representations in high spatial dimension;
Youngmi Hur and Amos Ron
november 2005
IEEE Trans.\ Info.\ Theory, {\bf 54 (5)} (2008), 2196--2209.
pcf: ps ps.Z
ps.gz pdf
New constructions of piecewise-constant wavelets;
Youngmi Hur and Amos Ron
may 2005
ETNA, Special Volume on Constructive Function Theory {\bf 25}
(2006), 138--157.
huron: ps ps.Z
ps.gz pdf
CAPlets: wavelet representations without wavelets;
Youngmi Hur and Amos Ron
march 2005
olgamos: ps ps.Z
ps.gz pdf
Approximation order of shift-invariant subspaces of $W_s^2(R^d)$
Olga Holtz and Amos Ron
May 2004
\JAT; 132; 2005; 97--148;
dhrs: ps ps.Z
ps.gz pdf
Framelets: MRA-based constructions of wavelet frames
Ingrid Daubechies, Bin Han, Amos Ron, Zuowei Shen
feb 2001
\ACHA; 14; 2003; 1--46;
polintflats: ps ps.Z
ps.gz pdf
Polynomial interpolation to data on flats in $\Rd$
Carl de Boor, Nira Dyn, Amos Ron
aug 1999
\JAT; 105; 2000; 313--343;
ger: ps ps.Z
ps.gz pdf
A new factorization technique of the matrix mask of univariate refinable functions
Gerlind Plonka and Amos Ron
June 1998
has appeared in \NM; 87(3); 2001; 555--595;
bmr: ps ps.Z
ps.gz pdf
Asymptotically Optimal Approximation and Numerical Solutions of Differential Equations
Martin D. Buhmann, Charles A. Micchelli, Amos Ron
October 1996
\Powellfest; 59--82;
cg: ps ps.Z
ps.gz pdf
Tight compactly supported wavelet frames of arbitrarily high smoothness
Karlheinz Gr\"ochenig, Amos Ron
September 1996
\PAMS; 126; 1998; 1101--1107;
BDR4: ps ps.Z
ps.gz pdf
Approximation orders of FSI spaces in $L_2(\Rd)$
Carl de Boor, Ron DeVore, and Amos Ron
March 1996
additional references added June-July 1996
referees' comments incorporated Aug/Sep 1996
a minor but useful variation of main result and add'l refs added feb97
An earlier version was, unfortunately, printed as
\CA; 14; 1998; 411--429;
The correct version is
\CA; 14; 1998; 631--652;
ker2: ps ps.Z
ps.gz pdf
On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators. II
Carl de Boor, Amos Ron, Zuowei Shen
May 1995
Adv. in Math. {\bf 123} (1996), 223--242.
cdr: ps ps.Z
ps.gz pdf
How smooth is the smoothest function in a given refinable space?
Albert Cohen, Ingrid Daubechies, Amos Ron
May 1995
Applied and Computational Harmonic Analysis {\bf 3} (1996), 87--89.
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;
wav2: ps ps.Z
ps.gz pdf
Multiresolution analysis by infinitely differentiable compactly supported functions
Nira Dyn, Amos Ron
September 1992
ACHA (1995)
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;
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
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;
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;
quasi: ps ps.Z
ps.gz pdf
The exponentials in the span of the multiinteger translates of a compactly supported function: quasiinterpolation and approximation order
Carl de Boor and Amos Ron
November 1989
has appeared in
J. London Math. Soc. (2); 45; 1992; 519--535;
polideal: ps ps.Z
ps.gz pdf
Polynomial ideals and multivariate splines
Carl de Boor, Amos Ron
June 1989
has appeared in
(Multivariate Approximation Theory IV, ISNM 90),
C. Chui, W. Schempp, and K. Zeller (eds.),
Birk\-h\"auser Verlag (Basel); 1989; 31--40;
twopolspaces: ps ps.Z
ps.gz pdf
On two polynomial spaces associated with a box spline
Carl de Boor, Nira Dyn \& Amos Ron
April 1989
has appeared in
\PJM; 147; 1991; 249--267;
% (may'99: corrected and updated the references)
newideal: ps ps.Z
ps.gz pdf
On polynomial ideals of finite codimension with applications to box spline theory;
Carl de Boor, Amos Ron
December 1988
has appeared in
\JMAA; 158; 1991; 168--193;
% (de.01: corrected (3.8), changed pi to Pi, updated one reference)
multiint: ps ps.Z
ps.gz pdf
On multivariate polynomial interpolation
Carl de Boor, Amos Ron
November 1988
has appeared in Constr. Approx.; 6; 1990; 287--302;
% (13nov98: corrected two misprints and changed the symbol for polynomial
% space from \pi to \Pi)
limorg: ps ps.Z
ps.gz pdf
The limit at the origin of a smooth function space;
Carl de Boor, Amos Ron
November 1988
has appeared in \TexasVI; 93--96;
ebs4: ps ps.Z
ps.gz pdf
Local approximation by certain spaces of multivariate exponential-polynomials, approximation order of exponential box splines and related interpolation problems
Nira Dyn and Amos Ron
January 1988
has appeared in:
\TAMS; 319; 1990; 381--403