Abstract
We study the heat kernel transform on a nilmanifold $ \Gamma \backslash N $ associated to an H-type group. Using a reduction technique we reduce the problem to the case of Heisenberg groups. The image of $ L^2(\Gamma \backslash N) $ under the heat kernel transform is shown to be a direct sum of weighted Bergman spaces.
Citation
Aparajita Dasgupta. Sundaram Thangavelu. "Heat kernel transform on nilmanifolds associated to H-type groups." Tohoku Math. J. (2) 64 (3) 439 - 451, 2012. https://doi.org/10.2748/tmj/1347369372
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