Mark Davidson

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math.CA2005

Differential Recursion Relations for Laguerre Functions on Symmetric Cones

Michael Aristidou, Mark Davidson, Gestur Olafsson

Let $Ω$ be a symmetric cone and $V$ the corresponding simple Euclidean Jordan algebra. In \cite{ado,do,do04,doz2} we considered the family of generalized Laguerre functions on $Ω$ …

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…