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
Autores principales:	Cabrelli, C., Molter, U., Lee, D.G., Pfander, G.E., Anbarjafari G., Kivinukk A., Tamberg G.
Formato:	CONF
Materias:	Shift-invariant space Window functions
Acceso en línea:	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	todo:paper_97815386_v_n_p391_Cabrelli
record_format	dspace
spelling	todo:paper_97815386_v_n_p391_Cabrelli2023-10-03T16:43:54Z Extra invariance and Balian-Low type obstructions for Gabor spaces Cabrelli, C. Molter, U. Lee, D.G. Pfander, G.E. Anbarjafari G. Kivinukk A. Tamberg G. 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. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Cabrelli, C. Molter, U. Lee, D.G. Pfander, G.E. Anbarjafari G. Kivinukk A. Tamberg G. 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.
format	CONF
author	Cabrelli, C. Molter, U. Lee, D.G. Pfander, G.E. Anbarjafari G. Kivinukk A. Tamberg G.
author_facet	Cabrelli, C. Molter, U. Lee, D.G. Pfander, G.E. Anbarjafari G. Kivinukk A. Tamberg G.
author_sort	Cabrelli, C.
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
url	http://hdl.handle.net/20.500.12110/paper_97815386_v_n_p391_Cabrelli
work_keys_str_mv	AT cabrellic extrainvarianceandbalianlowtypeobstructionsforgaborspaces AT molteru extrainvarianceandbalianlowtypeobstructionsforgaborspaces AT leedg extrainvarianceandbalianlowtypeobstructionsforgaborspaces AT pfanderge extrainvarianceandbalianlowtypeobstructionsforgaborspaces AT anbarjafarig extrainvarianceandbalianlowtypeobstructionsforgaborspaces AT kivinukka extrainvarianceandbalianlowtypeobstructionsforgaborspaces AT tambergg extrainvarianceandbalianlowtypeobstructionsforgaborspaces
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Extra invariance and Balian-Low type obstructions for Gabor spaces

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