Gabor systems and almost periodic functions

被引：8

作者：

Boggiatto, Paolo ^{[1
]}

Fernandez, Carmen ^{[2
]}

Galbis, Antonio ^{[2
]}

机构：

[1] Univ Turin, Dept Math, Via Carlo Alberto 10, I-10123 Turin, Italy

[2] Univ Valencia, Dept Anal Matemat, Doctor Moliner 50, E-46100 Valencia, Spain

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2017年 / 42卷 / 01期

关键词：

Frames; Gabor systems; Almost-periodic functions; AP-frames; WINDOWED FOURIER-TRANSFORM; WAVELET TRANSFORM; FRAMES;

D O I：

10.1016/j.acha.2015.07.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Inspired by results of Kim and Ron, given a Gabor frame in L-2(R), we determine a non-countable generalized frame for the non-separable space AP(2)(R) of the Besicovic almost periodic functions. Gabor type frames for suitable separable subspaces of AP(2)(R) are constructed. We show furthermore that Bessel-type estimates hold for the AP norm with respect to a countable Gabor system using suitable almost periodic norms of sequences. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：65 / 87

页数：23

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