MULTI-WINDOW GABOR FRAMES IN AMALGAM SPACES

被引：12
|
作者：
Balan, Radu [1 ]
Christensen, Jens G. [2 ]
Krishtal, Ilya A. [3 ]
Okoudjou, Kasso A. [1 ]
Romero, Jose Luis [4 ]
机构：
[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA
[2] Colgate Univ, Dept Math, Hamilton, NY 13346 USA
[3] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA
[4] Univ Vienna, Fac Math, A-1090 Vienna, Austria
来源：
MATHEMATICAL RESEARCH LETTERS | 2014年 / 21卷 / 01期
基金：
奥地利科学基金会;
关键词：
Wiener amalgam space; Gabor frame; Wiener's Lemma; BANACH FRAMES; WIENERS LEMMA; APPROXIMATION; INVERTIBILITY;
D O I：
10.4310/MRL.2014.v21.n1.a4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that multi-window Gabor frames with windows in the Wiener algebra W( L-infinity, l(1)) are Banach frames for all Wiener amalgam spaces. As a by-product of our results we positively answer an open question that was posed by Krishtal and Okoudjou [28] and concerns the continuity of the canonical dual of a Gabor frame with a continuous generator in the Wiener algebra. The proofs are based on a recent version of Wiener's 1/f lemma.
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页码：55 / 69
页数：15
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