EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 13, No. 1, pp. 247--261 (2003)

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The Product Formula for the Spherical Functions on Symmetric Spaces of Noncompact Type

Piotr Graczyk and Patrice Sawyer

Piotr Graczyk
Département de Mathématiques
Université d'Angers
2 Boulevard Lavoisier
49045 Angers cedex 01
France
graczyk@univ-angers.fr,
and
Patrice Sawyer
Department of Mathematics
& Computer Science
Laurentian University
Sudbury, Ontario
Canada P3E 5C6
sawyer@cs.laurentian.ca

Abstract: In this paper, we prove the existence of the product formula for the spherical functions on symmetric spaces of noncompact type. To this end, we study the analyticity properties of the Cartan decomposition and we find a limited Taylor expansion of the abelian factor in this decomposition.

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Electronic fulltext finalized on: 22 Nov 2002. This page was last modified: 3 Jan 2003.

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