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Abstract: We study the heat kernel transform on a nilmanifold M associated to a H-typegroup. Using a reduction technique we reduce the problem to the case ofHeisenberg groups. The image of $ L^2M $ under the heat kernel transform isshown to be a direct sum of weighted Bergman spaces.



Autor: A. Dasgupta, S. Thangavelu

Fuente: https://arxiv.org/







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