11 citations · 30 across the 19 of their papers we have counts for
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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…
Horospherical model for holomorphic discrete series and horospherical Cauchy transform
Simon Gindikin, Bernhard Kroetz, Gestur Olafsson
We define a complex horospherical transform for affine symmetric spaces of Hermitian type and show that it has no kernel on the holomorphic discrete series.
The Paley-Wiener Theorem and the Local Huygens' Principle for Compact Symmetric Spaces
Thomas Branson, Gestur Olafsson, Angela Pasquale
We prove a Paley-Wiener Theorem for a class of symmetric spaces of the compact type, in which all root multiplicities are even. This theorem characterizes functions of small suppor…
Support properties and Holmgren's uniqueness theorem for differential operators with hyperplane singularities
G. Olafsson, A. Pasquale
Let W be a finite Coxeter group acting linearly on . In this article we study support properties of W-invariant partial differential operator D on with real analytic co…
Multiscaled wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices
G. Olafsson, E. Ournycheva, B. Rubin
Let be the space of real matrices which can be identified with the Euclidean space . We introduce continuous wavelet transforms on with a multivalued sc…
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.…