Heat kernel transform on nilmanifolds associated to H-type groups

preprint2010arXivOpen access

We study the heat kernel transform on a nilmanifold M associated to a H-type group. Using a reduction technique we reduce the problem to the case of Heisenberg groups. The image of $L^2(M)$ under the heat kernel transform is shown to be a direct sum of weighted Bergman spaces.

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Heat kernel transform on nilmanifolds associated to H-type groups

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