Invertibility of the Gabor frame operator on the Wiener amalgam space

JOURNAL OF APPROXIMATION THEORY

卷:153

Article

Krishtal, Ilya A.²  Okoudjou, Kasso A.¹ 

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[2] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

关键词: Wiener amalgam space;    Gabor frame;    Walnut's representation;    Wiener's lemma;   

DOI  :  10.1016/j.jat.2008.03.004

来源: Elsevier

【 摘 要 】

We use a generalization of Wiener's I If theorem to prove that for a Gabor frame with the generator in the Wiener amalgam space W(L-infinity, l(1))(R-d), the corresponding frame operator is invertible on this space. Therefore. for such a Gabor frame, the canonical dual belongs also to W(L-infinity, l(1)) (R-d). (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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