Dynamical sampling for shift-preserving operators

被引：12

作者：

Aguilera, A. ^{[1
,2
]}

Cabrelli, C. ^{[1
]}

Carbajal, D. ^{[1
,2
]}

Paternostro, V. ^{[1
,2
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Buenos Aires, DF, Argentina

[2] Consejo Nacl Invest Cient & Tecn, Inst Invest Matemat Luis Santalo IMAS, Buenos Aires, DF, Argentina

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2021年 / 51卷

关键词：

Shift-invariant spaces; Shift-preserving operators; Range function; Range operator; Frames; Dynamical sampling; INVARIANT SUBSPACES; SPACES;

D O I：

10.1016/j.acha.2020.11.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we solve the dynamical sampling problem for a class of shift-preserving operators L : V -> V acting on a finitely generated shift-invariant space V. We find conditions on L and a finite set of functions of V so that the iterations of the operator L on the functions produce a frame generator set of V. This means that the integer translations of the generators form a frame of V. (c) 2020 Elsevier Inc. All rights reserved.

引用

页码：258 / 274

页数：17

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