Heat kernel transform on nilmanifolds associated to H-type groups

Details Heat kernel transform on nilmanifolds associated to H-type groups Heat kernel transform on nilmanifolds associated to H-type groups

2010-06-13

arxiv.org/abs/1006.2531v1

Mathematics

Functional Analysis

15 pages

Scientific paper

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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