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math.CA2004★ 11 cited
The image of the heat kernel transform on Riemannian symmetric spaces of the noncompact type
Bernhard Kroetz, Gestur Olafsson, Robert Stanton
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.…
math.CA2004★ 2 cited
The heat kernel transform for the Heisenberg group
Bernhard Kroetz, Sundaram Thangavelu, Yuan Xu
The heat kernel transform H_t for the Heisenberg group is studied in detail. The main result shows that the image of H_t is a direct sum of two weighted Bergman spaces whose associ…