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math.CA2005
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 …
math.CA2004
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…