papers on shift-invariant spaces 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.

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;

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;

gsi: ps ps.Z ps.gz pdf
Generalized shift-invariant systems
Amos Ron and Zuowei Shen
jan 2003
\CA; 22; 2005; 1--45;

dim1: ps ps.Z ps.gz pdf
The Wavelet Dimension Function is The Trace Function of A Shift-Invariant System
Amos Ron, Zuowei Shen
jun 2001
\PAMS; 131(5); 2003;1385--1398;

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;

interpolatepsi: ps ps.Z ps.gz pdf
Scattered data interpolation from principal shift-invariant spaces
Michael J. Johnson
feb 2000
\JAT; 113; 2001; 172--188;

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;

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;

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;

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

studia: ps ps.Z ps.gz pdf
A characterization of the approximation order of multivariate spline spaces
A. Ron
November 1989
has appeared in
Studia Mathematica {\bf 98(1)} (1991), 73--90.

csd1: ps ps.Z ps.gz pdf
A necessary and sufficient condition for the linear independence of the integer translates of a compactly supported distribution
Amos Ron
1988
has appeared in:
Constructive Approximation {\bf 5}(1989), 297--308.

polshift: ps ps.Z ps.gz pdf
The polynomials in the linear span of integer translates of a compactly supported function
Carl de Boor
1986
has appeared in: \CA; 3; 1987; 199--208;
% may99: updated the references, corrected various typos, and made the changes:
% \Pi --> \tilde\Pi, \pi -->\Pi, scale-invariant --> dilation-invariant,
% scale (S_h) --> ladder (S_h)

bivcard.pdf
Bivariate cardinal interpolation by splines on a three-direction mesh;
Carl de Boor, Klaus H\"ollig, Sherman Riemenschneider;
1984
\IJM, 29(4), 1985, 533--566;