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Differential Recursion Relations for Laguerre Functions on Symmetric Cones
Michael Aristidou, Mark Davidson, Gestur Olafsson
Let be a symmetric cone and the corresponding simple Euclidean Jordan algebra. In \cite{ado,do,do04,doz2} we considered the family of generalized Laguerre functions on …
Laguerre Functions on Symmetric Cones and recursion relations in the Real Case
Michael Aristidou, Mark Davidson, Gestur 'Olafsson
In this article we derive differential recursion relations for the Laguerre functions on the cone C of positive definite real matrices. The highest weight representations of the gr…
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.…