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Simultaneous estimates for vector-valued gabor frames of hermite functions.

Adv. Comput. Math. 29, 357-373 (2008)
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We derive frame bound estimates for vector-valued Gabor systems with window functions belonging to Schwartz space. The main result provides estimates for windows composed of Hermite functions. The proof is based on a recently established sampling theorem for the simply connected Heisenberg group, which is translated to a family of frame bound estimates via a direct integral decomposition.
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Publication type Article: Journal article
Document type Scientific Article
Keywords Gabor frames; Hermite functions; Heisenberg group; Paley-Wiener space; sampling theorems; direct integral decomposition
ISSN (print) / ISBN 1019-7168
e-ISSN 1572-9044
Quellenangaben Volume: 29, Issue: 4, Pages: 357-373 Article Number: , Supplement: ,
Publisher Springer
Reviewing status Peer reviewed