Mark G. Davidson

activity

20022005

most citedSegal-Bargmann transform on Hermitian symmetric spaces and Orthogonal Polynomials

9 citations · 9 across the 4 of their papers we have counts for

collaborators

4 papers

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.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 $Ω = H / L$ . The Laguerre functions $ℓ_{n}^{ν}$ , $\mathbf{n}\in\mathb…

math.RT2002★ 9 cited

Segal-Bargmann transform on Hermitian symmetric spaces and Orthogonal Polynomials

Mark Davidson, Gestur Olafsson, Genkai Zhang

Let $D = G / K$ be a complex bounded symmetric domain of tube type in a complex Jordan algebra $V$ and let $D_{R} = H / L \subset D$ be its real form…