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

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

2004-07-22

arxiv.org/abs/math/0407391v3

IMRN, 2005 (22), 1307-1329

Mathematics

Classical Analysis and ODEs

Expanded version. Two new sections added in order to clarify two remarks in the previous verson. 15 p

Scientific paper

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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