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JAT
2008
51views more  JAT 2008»
13 years 11 months ago
Polynomial reproduction by symmetric subdivision schemes
We first present necessary and sufficient conditions for a linear, binary, uniform, and stationary sub
Nira Dyn, Kai Hormann, Malcolm A. Sabin, Zuowei Sh...
JAT
2008
100views more  JAT 2008»
13 years 11 months ago
Direct and inverse results in variable Hilbert scales
Variable Hilbert scales are an important tool for the recent analysis of inverse problems in Hilbert spaces, as these constitute a way to describe smoothness of objects other than ...
Peter Mathé, Bernd Hofmann
JAT
2008
57views more  JAT 2008»
13 years 11 months ago
Sharp approximations to the Bernoulli periodic functions by trigonometric polynomials
We obtain optimal trigonometric polynomials of a given degree N that majorize, minorize and approximate in L1(R/Z) the Bernoulli periodic functions. These are the periodic analogue...
Emanuel Carneiro
JAT
2008
115views more  JAT 2008»
13 years 11 months ago
A simple characterization of weighted Sobolev spaces with bounded multiplication operator
In this paper we give a simple characterization of weighted Sobolev spaces (with piecewise monotonous weights) such that the multiplication operator is bounded: it is bounded if an...
Jose M. Rodriguez
JAT
2008
57views more  JAT 2008»
13 years 11 months ago
Invertibility of the Gabor frame operator on the Wiener amalgam space
We use a generalization of Wiener's 1/f theorem to prove that for a Gabor frame with the generator in the Wiener amalgam space W (L , 1 )(Rd ), the corresponding frame operato...
Ilya A. Krishtal, Kasso A. Okoudjou
JAT
2008
51views more  JAT 2008»
13 years 11 months ago
Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients
A. I. Aptekarev, Jeffrey S. Geronimo, Walter Van A...
JAT
2008
56views more  JAT 2008»
13 years 11 months ago
Some examples of orthogonal matrix polynomials satisfying odd order differential equations
It is well known that if a finite order linear differential operator with polynomial coefficients has as eigenfunctions a sequence of orthogonal polynomials with respect to a posi...
Antonio J. Durán Guardeño, Manuel D....