Mexican Hat Wavelet on the Heisenberg Group

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dc.creatorMayeli, Azita
dc.date2007-05-23
dc.date.accessioned2026-07-07T08:02:58Z
dc.date.available2026-07-07T08:02:58Z
dc.descriptionIn this article wavelets (admissible vectors) on the Heisenberg group are studied from the point of view of Calderon's formula. Further we shall show that for the class of Schwartz functions the Calderon admissibility condition is equivalent to the usual admissibility property which will be introduced in this work. Furthermore motivated by a well-known example on the real line, the Mexican-Hat wavelet, we demonstrate the existence and construction of an analogous wavelet on the Heisenberg Lie group with 2 vanishing moments, which together with all of its derivatives has Gaussian decay.
dc.description8 pages, no figures
dc.identifierhttps://arxiv.org/abs/0705.3364
dc.identifierhttp://arxiv.org/abs/0705.3364
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129411
dc.subjectFunctional Analysis
dc.subjectGroup Theory
dc.subject42C40; 42B20; 22E25
dc.titleMexican Hat Wavelet on the Heisenberg Group
dc.typetext

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