Spherical functions on mixed symmetric spaces

Krötz B, Neeb KH (2001)

Publication Type: Journal article, Online publication

Publication year: 2001

Journal

Representation Theory American Mathematical Society

Publisher: American Mathematical Society

Book Volume: 5

Pages Range: 43-92

Abstract

In this article we compute the spherical functions which are associated to hyperbolically ordered symmetric spaces $H\backslash G$. These spaces are usually not semisimple; one prominent example is given by $H\backslash G= ({\mathbb R}^n\rtimes {\mathrm{Gl}}(n,{\mathbb R}))\backslash (H_n\rtimes{\mathrm{Sp}} (n,{\mathbb R}))$ with $H_n$ the $(2n+1)$-dimensional Heisenberg group.

Authors with CRIS profile

Karl Hermann Neeb Lehrstuhl für Mathematik (Lie-Gruppen und Darstellungstheorie)

Involved external institutions

Universität Paderborn DE Germany (DE)

How to cite

APA:

Krötz, B., & Neeb, K.H. (2001). Spherical functions on mixed symmetric spaces. Representation Theory, 5, 43-92.

MLA:

Krötz, Bernhardt, and Karl Hermann Neeb. "Spherical functions on mixed symmetric spaces." Representation Theory 5 (2001): 43-92.

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