Vol. 204, No. 2, 2002

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The product formula for the spherical functions on symmetric spaces in the complex case

P. Graczyk and P. Sawyer

Vol. 204 (2002), No. 2, 377–393
Abstract

In this paper, we prove the existence of the product formula for the spherical functions in the complex case and we study properties of the integral kernel of this formula.

Milestones
Received: 12 October 2000
Revised: 15 June 2001
Published: 1 June 2002
Authors
P. Graczyk
Département de Mathématiques
Université d’Angers
2 Boulevard Lavoisier
49045 Angers cedex 01, France
P. Sawyer
Department of Mathematics & Computer Science
Laurentian University
Sudbury, Ontario
Canada P3E 5C6