Spherical functions on mixed symmetric spaces

Authors

Bernhard Krötz, The Ohio State University
Karl Hermann Neeb, Technische Universität Darmstadt
Gestur Ólafsson, Louisiana State University

Document Type

Article

Publication Date

4-23-2001

Abstract

In this article we compute the spherical functions which are associated to hyperbolically ordered symmetric spaces H\G. These spaces are usually not semisimple; one prominent example is given by H\G = (ℝn ⋊ Gl(n; ℝ))n(Hn⋊Sp(n; ℝ)) with Hn the (2n+1)-dimensional Heisenberg group. © 2001 American Mathematical Society.

Publication Source (Journal or Book title)

Representation Theory

First Page

43

Last Page

92

Recommended Citation

Krötz, B., Neeb, K., & Ólafsson, G. (2001). Spherical functions on mixed symmetric spaces. Representation Theory, 5 (3), 43-92. https://doi.org/10.1090/S1088-4165-01-00126-1