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JAT
2008
51views more  JAT 2008»
13 years 4 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 4 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 4 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 4 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 4 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 4 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 4 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....