Open Access
2012 Heat kernel transform on nilmanifolds associated to H-type groups
Aparajita Dasgupta, Sundaram Thangavelu
Tohoku Math. J. (2) 64(3): 439-451 (2012). DOI: 10.2748/tmj/1347369372


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.


Download Citation

Aparajita Dasgupta. Sundaram Thangavelu. "Heat kernel transform on nilmanifolds associated to H-type groups." Tohoku Math. J. (2) 64 (3) 439 - 451, 2012.


Published: 2012
First available in Project Euclid: 11 September 2012

zbMATH: 1260.22007
MathSciNet: MR2979291
Digital Object Identifier: 10.2748/tmj/1347369372

Primary: 22E30
Secondary: 35H20 , 35K05 , 58J35

Keywords: Bergman spaces , Heat kernels , H-type groups , Laplacians , representations , Weil-Brezin transforms

Rights: Copyright © 2012 Tohoku University

Vol.64 • No. 3 • 2012
Back to Top