Heat kernel transform for nilmanifolds associated to the Heisenberg group

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We study the heat kernel transform on a nilmanifold $ M $ of the Heisenberg group. We show that the image of $ L^2(M) $ under this transform is a direct sum of weighted Bergman spaces which are related to twisted Bergman and Hermite-Bergman spaces.
Revised version; to appear in Revista Mathematica Iberoamericana, 28 p

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Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/164886

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607134
 http://arxiv.org/abs/math/0607134
 Revista Mathematica Iberoamericana 24 (1) (2008), 243-266.

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