Vol. 108, No. 1, 1983

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Bessel functions on Pn

Thomas E. Bengtson

Vol. 108 (1983), No. 1, 19–29
Abstract

In this paper Bessel functions are defined in the homogeneous symmetric space GL(n,R)∕O(n). Two definitions are given. One is an integral over the space itself, the other is a Euclidean integral. A relation between the integrals is proved. The use of this relation is shown explicitly in a low dimensional case. Some additional properties of these Bessel functions are then noted.

Mathematical Subject Classification 2000
Primary: 43A85
Secondary: 33A75
Milestones
Received: 3 November 1981
Published: 1 September 1983
Authors
Thomas E. Bengtson