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The image of the heat kernel transform on Riemannian symmetric spaces of the noncompact type

Bernhard Kroetz·Gestur Olafsson·Robert Stanton
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Abstract

The heat kernel or Bargmann-Segal transform on a noncompact Riemannian symmetric space X=G/K maps a square integrable function on X to a holomorphic function on the complex crown. In this article we determine the range of this transform.

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Bernhard Kroetz, Gestur Olafsson, Robert Stanton. 2005-02-19. The image of the heat kernel transform on Riemannian symmetric spaces of the noncompact type. https://arxiv.org/abs/math/0407391

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