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arXiv · 1006.2531

Heat kernel transform on nilmanifolds associated to H-type groups

A. Dasgupta·S. Thangavelu
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Abstract

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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BibTeXRIS

A. Dasgupta, S. Thangavelu. 2010-06-13. Heat kernel transform on nilmanifolds associated to H-type groups. https://arxiv.org/abs/1006.2531

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