Invertibility of Laurent operators and shift invariant spaces with finitely many generators

被引：2

作者：

Radha, R. ^{[1
]}

Sarvesh, K. ^{[1
]}

Sivananthan, S. ^{[2
]}

机构：

[1] Indian Inst Technol Madras, Dept Math, Chennai, Tamil Nadu, India

[2] Indian Inst Technol Delhi, Dept Math, New Delhi, India

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 16期

关键词：

Laurent operator; nonuniform sampling; reproducing kernel Hilbert space; shift invariant space; Wiener amalgam space; RECONSTRUCTION; SUBSPACES; FRAMES;

D O I：

10.1080/00036811.2019.1585531

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, it is shown that for a fixed is a stable set of sampling for if and only if there exists such that a.e. on , where is a symbol matrix of a block Laurent operator associated with the sample set of . A similar result is proved when where and is a stable set of sampling for (single generator) as well as (multi generators ). A perturbation of stable set of sampling is also discussed.

引用

页码：2854 / 2876

页数：23

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