Selected articles of Amos Ron

Selected articles of Amos Ron

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each article listed below can be viewed on-line by clicking the red ball next to it. Or course, all articles are downloadable. They can also ftp'ed from `ftp.cs.wisc.edu/Approx`, but that's a silly option, if you are already here. The files are postscript, and are also available as compress(ed) files, as indicated by the subscript `.Z`, to be `uncompress`(ed) before using.
The files are in order of increasing age.

`reg.ps`, `reg.ps.Z` :=
The Sobolev regularity of refinable functions
Amos Ron and Zuowei Shen
March 1997

`bmr.ps`, `bmr.ps.Z` :=
Asymptotically Optimal Approximation and Numerical Solutions of Differential
Equations
Martin D. Buhmann, Charles A. Micchelli, Amos Ron}
October 1996

`cg.ps`, `cg.ps.Z` :=
Tight compactly supported wavelet frames of arbitrarily high smoothness
Karlheinz Gr\"ochenig, Amos Ron
September 1996

`BDR4.ps`, `BDR4.ps.Z` :=
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
to appear in \CA

`tight.ps`, `tight.ps.Z` :=
Compactly supported tight affine spline frames in $L_2(\Rd)$
Amos Ron and Zuowei Shen
February 1996
to appear in Math. Comp.

`affine.ps`, `affine.ps.Z` :=
Affine systems in $L_2(\Rd)$: the analysis of the analysis operator
Amos Ron, Zuowei Shen
December 1995

`ker2.ps`, `ker2.ps.Z` :=
On ascertaining inductively the dimension of the joint kernel
of certain commuting linear operators. II
Carl de Boor, Amos Ron, Zuowei Shen
May 1995
to appear in Adv. in Math.

`cdr.ps`, `cdr.ps.Z` :=
How smooth is the smoothest function in a given refinable space?
Albert Cohen, Ingrid Daubechies, Amos Ron
May 1995
to appear in Applied and Computational Harmonic Analysis

`frame2.ps`, `frame2.ps.Z` :=
Gramian analysis of affine bases and affine frames
Amos Ron and Zuowei Shen
March 1995
\TexasVIIIw; 375--382;

`smoothwav.ps`, `smoothwav.ps.Z` :=
Smooth refinable functions provide good approximation orders
Amos Ron
February 1995
to appear in SIAM J. Math. Anal.

`wh.ps`, `wh.ps.Z` :=
Weyl-Heisenberg frames and Riesz bases in $L_2(\Rd)$
Amos Ron and Zuowei Shen
October 1994
to appear in Duke Math. J.

`sphere.ps`, `sphere.ps.Z` :=
Strictly positive definite functions on spheres
Amos Ron and Xingping Sun
February 1994
to appear in Math. Comp.

`frame1.ps`, `frame1.ps.Z` :=
Frames and stable bases for shift-invariant subspaces of $L_2(\Rd)$
Amos Ron and Zuowei Shen
February 1994
Canad. Math. J. (1995)

`pscattered.ps`, `pscattered.ps.Z` :=
$L^p$-approximation orders with scattered centres
Martin D. Buhmann and Amos Ron
January 1994

`scattered.ps`, `scattered.ps.Z` :=
Radial basis function approximation: from gridded centers to scattered centers
Nira Dyn and Amos Ron
November 1993
Proc. London Math. Soc. (1995)

`approxloc.ps`, `approxloc.ps.Z` :=
Approximation orders of and approximation maps from local principal
shift-invariant spaces
Amos Ron
May 1993
JAT (1995)

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

`stablemask.ps`, `stablemask.ps.Z` :=
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`, `sct1.ps.Z` :=
Negative observations concerning approximations from spaces generated by
scattered shifts of functions vanishing at $\infty$
Amos Ron
September 1992
has appeared in \JAT; 78(3); 1994; 364--372;

`ker.ps`, `ker.ps.Z` :=
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 \AiAM; 17; 1996; 209--250;

`aoradial.ps`, `aoradial.ps.Z` :=
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;

`wavelet.ps`, `wavelet.ps.Z` :=
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`, `several.ps.Z` :=
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;

`l2shift.ps`, `l2shift.ps.Z` :=
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'.

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

`compleast.ps`, `compleast.ps.Z` :=
Computational aspects of polynomial interpolation in several variables
Carl de Boor, Amos Ron
has appeared in Math.Comp.; 58; 1992; 705--727;

`polideal.ps`, `polideal.ps.Z` :=
Polynomial ideals and multivariate splines;
Carl de Boor, Amos Ron
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;

`multiint.ps`, `multiint.ps.Z` :=
On multivariate polynomial interpolation;
Carl de Boor, Amos Ron
has appeared in Constr. Approx.; 6; 1990; 287--302;

`quasi.ps`, `quasi.ps.Z` :=
The exponentials in the span of the multiinteger
translates of a compactly supported function:
quasiinterpolation and approximation order
1989
Carl de Boor and Amos Ron
has appeared in
J. London Math. Soc. (2); 45; 1992; 519--535;