Selected articles of Amos Ron

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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 1996
submitted to Constructive Approximation

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

affine.ps :=
Affine systems: the analysis of the analysis operator
Amos Ron and Zuowei Shen
December 1995
submitted

ker2.ps :=
On ascertaining inductively the dimension of the joint kernel
of certain commuting linear operators II
Carl de Boor, Amos Ron and Zuowei Shen
May 1995

cdr.ps :=
How smooth is the smoothest function in a given refinable space?
Albert Cohen, Ingrid Daubechies, Amos Ron
May 1995
appeared in ACHA, {\bf 3}, 87--89, 1996

frame2.ps :=
Gramian analysis of affine bases and affine frames
Amos Ron and Zuowei Shen
March 1995
appeared in \TexasVIII

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

wh.ps :=
Weyl-Heisenberg frames and Riesz bases in $L_2(\Rd)$
Amos Ron and Zuowei Shen
October 1994
submitted

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

frame1.ps :=
Frames and stable bases for shift-invariant subspaces of $L_2(\Rd)$
Amos Ron and Zuowei Shen
February 1994
appeared in Canadian J. Math.\ {\bf 47} (1995), 1051--1094.

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

scattered.ps :=
Radial basis function approximation: from gridded centers to scattered centers
Nira Dyn and Amos Ron
November 1993
appeared in Proc.\ London Math.\ Soc. {\bf 71 (3)} (1995), 76--108.

approxloc.ps :=
Approximation orders of and approximation maps from local principal
shift-invariant spaces
Amos Ron
May 1993
Journal of Approximation Theory {\bf 81(1)} (1995), 38--65.

wav2.ps :=
Multiresolution analysis by infinitely differentiable compactly
supported functions
Nira Dyn, Amos Ron
September 1992
Applied and Computational Harmonic Analysis {\bf 2}, 15--20 (1995).

stablemask.ps :=
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 :=
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 :=
On ascertaining inductively the dimension of the joint kernel
of certain commuting linear operators
Carl de Boor, Amos Ron, Zuowei Shen
June 1992
to appear in Adv. in Math.

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

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

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

quasi.ps :=
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;