Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Contraction of Gabor frames to the interval (-1,1)
Publication Date:	2011-02-25
Authors:	- Luís Daniel Abreu - John E. Gilbert
Abstract:	In this paper we introduce frames for the space L²(-r,r), r \ge 1 that formally approach Gabor frames in L²(R) as r -> 1. This is done using an integral transform which can be seen, in a certain sense, as a contraction of the Bargmann transform. The transform and the associated frames can be related to Bergman spaces in the unit disc, thus allowing a complete characterization by means of Seip's geometric description of the sampling sequences in the Bergman space.
Institution:	DMUC 11-07
Online version:	http://www.mat.uc.pt...prints/eng_2011.html
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