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http://hdl.handle.net/2445/67005
Title: | Uniformly bounded orthonormal polynomials on the sphere |
Author: | Marzo Sánchez, Jordi Ortega Cerdà, Joaquim |
Keywords: | Funcions holomorfes Funcions de diverses variables complexes Espais fibrats (Matemàtica) Holomorphic functions Functions of several complex variables Fiber spaces (Mathematics) |
Issue Date: | 1-Oct-2015 |
Publisher: | London Mathematical Society |
Abstract: | We introduce a new notion for the deformation of Gabor systems. Such deformations are in general nonlinear and, in particular, include the standard jitter error and linear deformations of phase space. With this new notion we prove a strong deformation result for Gabor frames and Gabor Riesz sequences that covers the known perturbation and deformation results. Our proof of the deformation theorem requires a new characterization of Gabor frames and Gabor Riesz sequences. It is in the style of Beurling's characterization of sets of sampling for bandlimited functions and extends significantly the known characterization of Gabor frames 'without inequalities' from lattices to non-uniform sets. |
Note: | Versió postprint del document publicat a: http://dx.doi.org/10.1112/blms/bdv061 |
It is part of: | Bulletin of the London Mathematical Society, 2015, vol. 47, num. 5, p. 883-891 |
URI: | http://hdl.handle.net/2445/67005 |
Related resource: | http://dx.doi.org/10.1112/blms/bdv061 |
ISSN: | 0024-6093 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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654410.pdf | 340.01 kB | Adobe PDF | View/Open |
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