Extra invariance and Balian-Low type obstructions for Gabor spaces

We establish some Balian-Low type results for Gabor spaces, which concern with discontinuity in some periodization of Z φ , where Z φ is the Zak transform of the window function φ ϵ L 2 (ℝ d ). The results are compared with the case for shift-invariant spaces where the Zak transform is replaced by F...

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Detalles Bibliográficos
Publicado:	2017
Materias:	Shift-invariant space Window functions
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97815386_v_n_p391_Cabrelli http://hdl.handle.net/20.500.12110/paper_97815386_v_n_p391_Cabrelli
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_97815386_v_n_p391_Cabrelli
record_format	dspace
spelling	paper:paper_97815386_v_n_p391_Cabrelli2023-06-08T16:38:00Z Extra invariance and Balian-Low type obstructions for Gabor spaces Shift-invariant space Window functions We establish some Balian-Low type results for Gabor spaces, which concern with discontinuity in some periodization of Z φ , where Z φ is the Zak transform of the window function φ ϵ L 2 (ℝ d ). The results are compared with the case for shift-invariant spaces where the Zak transform is replaced by Fourier transform. © 2017 IEEE. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97815386_v_n_p391_Cabrelli http://hdl.handle.net/20.500.12110/paper_97815386_v_n_p391_Cabrelli
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Shift-invariant space Window functions
spellingShingle	Shift-invariant space Window functions Extra invariance and Balian-Low type obstructions for Gabor spaces
topic_facet	Shift-invariant space Window functions
description	We establish some Balian-Low type results for Gabor spaces, which concern with discontinuity in some periodization of Z φ , where Z φ is the Zak transform of the window function φ ϵ L 2 (ℝ d ). The results are compared with the case for shift-invariant spaces where the Zak transform is replaced by Fourier transform. © 2017 IEEE.
title	Extra invariance and Balian-Low type obstructions for Gabor spaces
title_short	Extra invariance and Balian-Low type obstructions for Gabor spaces
title_full	Extra invariance and Balian-Low type obstructions for Gabor spaces
title_fullStr	Extra invariance and Balian-Low type obstructions for Gabor spaces
title_full_unstemmed	Extra invariance and Balian-Low type obstructions for Gabor spaces
title_sort	extra invariance and balian-low type obstructions for gabor spaces
publishDate	2017
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97815386_v_n_p391_Cabrelli http://hdl.handle.net/20.500.12110/paper_97815386_v_n_p391_Cabrelli
_version_	1768544662459514880

Extra invariance and Balian-Low type obstructions for Gabor spaces

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