Calderon-type inequalities for affine frames

被引：2

作者：

Barbieri, Davide ^{[1
]}

Hernandez, Eugenio ^{[1
]}

Mayeli, Azita ^{[2
,3
]}

机构：

[1] Univ Autonoma Madrid, Madrid 28049, Spain

[2] CUNY, Queensborough, NY USA

[3] Grad Ctr, New York, NY USA

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2021年 / 50卷

基金：

欧盟地平线“2020”;

关键词：

Frames in LCA groups; Calderon condition for frames; Gabor systems; INVARIANT-SYSTEMS; EXISTENCE;

D O I：

10.1016/j.acha.2019.07.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove sharp upper and lower bounds for generalized Calderon's sums associated to frames on LCA groups generated by affine actions of cocompact subgroup translations and general measurable families of automorphisms. The proof makes use of techniques of analysis on metric spaces, and relies on a counting estimate of lattice points inside metric balls. We will deduce as special cases Calderon-type inequalities for families of expanding automorphisms as well as for LCA-Gabor systems. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：326 / 352

页数：27

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