Heat kernel transform for nilmanifolds associated to the Heisenberg group
Krötz , Bernhard ; Thangavelu , Sundaram ; Xu , Yuan
Rev. Mat. Iberoamericana, Tome 24 (2008) no. 2, p. 243-266 / Harvested from Project Euclid
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We study the heat kernel transform on a nilmanifold $M$ of the Heisenberg group. We show that the image of $L^2(M)$ under this transform is a direct sum of weighted Bergman spaces which are related to twisted Bergman and Hermite-Bergman spaces.
Publié le : 2008-04-15
Classification:  Heisenberg group,  nilmanifolds,  Bergman spaces,  heat kernel,  Hermite and Laguerre functions,  22E30,  35H20,  35K05,  58J35 
@article{1216247101,
     author = {Kr\"otz ,  Bernhard and Thangavelu ,  Sundaram and Xu ,  Yuan},
     title = {Heat kernel transform for nilmanifolds associated to the
 Heisenberg group},
     journal = {Rev. Mat. Iberoamericana},
     volume = {24},
     number = {2},
     year = {2008},
     pages = { 243-266},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1216247101}
}

Krötz ,  Bernhard; Thangavelu ,  Sundaram; Xu ,  Yuan. Heat kernel transform for nilmanifolds associated to the
 Heisenberg group. Rev. Mat. Iberoamericana, Tome 24 (2008) no. 2, pp.  243-266. http://gdmltest.u-ga.fr/item/1216247101/