The image of the heat kernel transform on Riemannian symmetric spaces of the noncompact type
Bernhard Kroetz, Gestur Olafsson, Robert Stanton
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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