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math.RT2003
The Generalized Segal-Bargmann transform and Special Functions
Mark Davidson, Gestur Olafsson
Analysis of function spaces and special functions are closely related to the representation theory of Lie groups. We explain here the connection between the Laguerre functions, the…
math.RT2003
Differential Recursion Relations for Laguerre Functions on Hermitian Matrices
Mark Davidson, Gestur Olafsson
In our previous papers \cite{doz1,doz2} we studied Laguerre functions and polynomials on symmetric cones . The Laguerre functions , $\mathbf{n}\in\mathb…