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Multivariate Gabor frames for operators in matrix-valued signal spaces over locally compact abelian groups

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dc.contributor.authorJindal, D.
dc.contributor.authorSinha, U.K.
dc.contributor.authorVerma, G.
dc.date.issued2021
dc.description.abstractIn this paper, we study multivariate Gabor frames in matrix-valued signal spaces over locally compact abelian (LCA) groups, where the lower frame condition depends on a bounded linear operator T on the underlying matrix-valued signal space. This type of Gabor frame is also known as a multivariate T-Gabor frame. By extending work of Gavruta, we present necessary and sufficient conditions for the existence of T-Gabor frames of multivariate matrix-valued Gabor systems. Some operators which can transform multivariate matrix-valued Gabor and T-Gabor frames into T-Gabor frames in terms of adjointable operators are discussed. Finally, we give a Paley-Wiener-type perturbation result for multivariate matrix-valued T-Gabor frames.
dc.identifier.citationInternational Journal of Wavelets, Multiresolution and Information Processing, 2021; 19(2, article no. 2050069):1-24
dc.identifier.doi10.1142/S0219691320500691
dc.identifier.issn0219-6913
dc.identifier.issn1793-690X
dc.identifier.urihttps://hdl.handle.net/11541.2/146051
dc.language.isoen
dc.publisherWorld Scientific Publishing
dc.rightsCopyright 2020 World Scientific Publishing Company
dc.source.urihttps://doi.org/10.1142/s0219691320500691
dc.subjectbessel sequence
dc.subjectgabor frame
dc.subjecthilbert frame
dc.titleMultivariate Gabor frames for operators in matrix-valued signal spaces over locally compact abelian groups
dc.typeJournal article
pubs.publication-statusPublished
ror.mmsid9916469505301831

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