Segal-Bargmann transform and Paley-Wiener theorems on $M(2).$

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dc.creatorNarayanan, E. K.
dc.creatorSen, Suparna
dc.date2009-05-18
dc.date.accessioned2026-07-07T13:15:58Z
dc.date.available2026-07-07T13:15:58Z
dc.descriptionWe study the Segal-Bargmann transform on $M(2).$ The range of this transform is characterized as a weighted Bergman space. In a similar fashion Poisson integrals are studied. Using a Gutzmer type formula we characterize the range as a class of functions extending holomorphically to an appropriate domain in the complexification of $M(2).$ We also prove a Paley-Wiener theorem for the inverse Fourier transform
dc.identifierhttps://arxiv.org/abs/0905.2802
dc.identifierhttp://arxiv.org/abs/0905.2802
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230643
dc.subjectFunctional Analysis
dc.subject22E30
dc.titleSegal-Bargmann transform and Paley-Wiener theorems on $M(2).$
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