1Dép. de Mathématiques, Université d'Angers, 49045 Angers, France 2Dept. of Mathematics and Computer Science, Laurentian University, Sudbury, Ontario, Canada P3E 5C6 3We 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. 4[
Journal of Lie Theory, Tome 13 (2003) no. 1, pp. 247-261
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Piotr Graczyk; Patrice Sawyer. The Product Formula for the Spherical Functions on Symmetric Spaces of Noncompact Type. Journal of Lie Theory, Tome 13 (2003) no. 1, pp. 247-261. http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a13/
@article{JOLT_2003_13_1_a13,
author = {Piotr Graczyk and Patrice Sawyer},
title = {The {Product} {Formula} for the {Spherical} {Functions} on {Symmetric} {Spaces} of {Noncompact} {Type}},
journal = {Journal of Lie Theory},
pages = {247--261},
year = {2003},
volume = {13},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a13/}
}
TY - JOUR
AU - Piotr Graczyk
AU - Patrice Sawyer
TI - The Product Formula for the Spherical Functions on Symmetric Spaces of Noncompact Type
JO - Journal of Lie Theory
PY - 2003
SP - 247
EP - 261
VL - 13
IS - 1
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%J Journal of Lie Theory
%D 2003
%P 247-261
%V 13
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%U http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a13/
%F JOLT_2003_13_1_a13
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.
