Plancherel transform criteria for Weyl-Heisenberg frames with integer oversampling

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dc.creatorFuehr, Hartmut
dc.date2002-06-28
dc.date.accessioned2026-07-07T04:49:26Z
dc.date.available2026-07-07T04:49:26Z
dc.descriptionWe investigate the relevance of admissibility criteria based on Plancherel measure for the characterization of tight Weyl-Heisenberg frames with integer oversampling. For this purpose we observe that functions giving rise to such Weyl-Heisenberg frames are admissible with respect to the action of suitably defined type-I discrete group G. This allows to relate the construction of Weyl-Heisenberg frames to the Plancherel measure of G, which provides an alternative proof and a new interpretation of the well-known Zak transform based criterion for tight Weyl-Heisenberg frames with integer oversampling.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0206309
dc.identifierhttp://arxiv.org/abs/math/0206309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64427
dc.subjectFunctional Analysis
dc.subject43A30; 42C40
dc.titlePlancherel transform criteria for Weyl-Heisenberg frames with integer oversampling
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