Heat kernel transform for nilmanifolds associated to the Heisenberg group

Details Heat kernel transform for nilmanifolds associated to the Heisenberg group Heat kernel transform for nilmanifolds associated to the Heisenberg group

2006-07-05

arxiv.org/abs/math/0607134v2

Revista Mathematica Iberoamericana 24 (1) (2008), 243-266.

Mathematics

Functional Analysis

Revised version; to appear in Revista Mathematica Iberoamericana, 28 p

Scientific paper

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.

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