On Stable Sampling and Interpolation in Bernstein Spaces-Reference-Cited by-同舟云学术

On Stable Sampling and Interpolation in Bernstein Spaces

Published:2023-04-17 Issue:2 Volume:56 Page:213-239
ISSN:2357-4100
Container-title:Revista Colombiana de Matemáticas
language:
Short-container-title:rev.colomb.mat

Author:

López Nicolás José Alfonso

Abstract

We define the concepts of stable sampling set, interpolation set, uniqueness set and complete interpolation set for a quasinormed space of functions and apply these concepts to Paley-Wiener spaces and Bernstein spaces. We obtain a sufficient condition on a uniformly discrete set to be an interpolation set based on a lemma of convergence of series in Paley-Wiener spaces. We also obtain a result of transference, Kadec type, of the property of being a stable sampling set, from a set with this property to other uniformly discrete set, which we apply to Bernstein spaces.

Publisher

Universidad Nacional de Colombia

Subject

General Mathematics

Reference25 articles.

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