Work

Multi-window Gabor frames in amalgam spaces

Year: 2014

Type: article

Abstract: We show that multi-window Gabor frames with windows in the Wiener algebra W (L ∞ , 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.

Source: Mathematical Research Letters

DOI: 10.4310/mrl.2014.v21.n1.a4

Authors: Radu Balan, Jens G. Christensen, Ilya A. Krishtal, Kasso A. Okoudjou, José Luis Romero

Institutions: University of Maryland, College Park, Colgate University, Northern Illinois University, University of Vienna

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze