papers on refinable functions 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;
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;
rst: ps ps.Z
ps.gz pdf
Computing the Sobolev regularity of refinable functions by the Arnoldi Method
Amos Ron, Zuowei Shen, Kim-Chuan Toh
oct 1999
\SJMAA; 23; 2001; 57--76;
hoganjia: ps ps.Z
ps.gz pdf
Dependency relations among th shifts of a multivariate refinable distribution
Thomas A. Hogan and Rong-Qing Jia
March 1998
to appear in CA
nec_note: ps ps.Z
ps.gz pdf
A note on matrix refinement equations
Thomas A. Hogan
February 1998
\SJMA; 29; 1998; 849--854
hardinhogan: ps ps.Z
ps.gz pdf
Refinable subspaces of a refinable space
Douglas P. Hardin and Thomas A. Hogan
February 1998
to appear in PAMS
reg: ps ps.Z
ps.gz pdf
The Sobolev regularity of refinable functions
Amos Ron and Zuowei Shen
March 1997
J. Approx. Theory, {\bf 106(2)} (2000), 185--225.
multiw: ps ps.Z
ps.gz pdf
Stability and independence of the shifts of finitely many refinable functions
Thomas A. Hogan
January 1996
revised February 1997
\JFAA; 3; 1997; 757--774;
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.
smoothwav: ps ps.Z
ps.gz pdf
Smooth refinable functions provide good approximation orders
Amos Ron
February 1995
SIAM J. Math. Anal. {\bf 28} (1997), 731--748.
stabindep_texasviii: ps ps.Z
ps.gz pdf
Stability and independence of the shifts of a multivariate refinable function
Thomas A. Hogan
February 1995
\TexasVIIIw; 159--166;
stabindep: ps ps.Z
ps.gz pdf
Stability and independence for multivariate refinable distributions
Thomas A. Hogan
February 1995
revised August 1997
appeared in
\JAT; 98(2); 1999; 248--270;
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