JournalsrmiVol. 24, No. 1pp. 243–266

Heat kernel transform for nilmanifolds associated to the Heisenberg group

  • Bernhard Krötz

    Universität Paderborn, Germany
  • Sundaram Thangavelu

    Indian Institute of Science, Bangalore, India
  • Yuan Xu

    University of Oregon, Eugene, USA
Heat kernel transform for nilmanifolds associated to the Heisenberg group cover
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Abstract

We study the heat kernel transform on a nilmanifold MM of the Heisenberg group. We show that the image of L2(M)L^2(M) under this transform is a direct sum of weighted Bergman spaces which are related to twisted Bergman and Hermite-Bergman spaces.

Cite this article

Bernhard Krötz, Sundaram Thangavelu, Yuan Xu, Heat kernel transform for nilmanifolds associated to the Heisenberg group. Rev. Mat. Iberoam. 24 (2008), no. 1, pp. 243–266

DOI 10.4171/RMI/535