SPHERICAL-FUNCTIONS ON ORDERED SYMMETRICAL SPACES

被引：33

作者：

FARAUT, J

HILGERT, J

OLAFSSON, G

机构：

[1] UNIV PARIS 06, F-75252 PARIS 05, FRANCE

[2] TECH UNIV CLAUSTHAL, INST MATH, D-38678 CLAUSTHAL ZELLERFELD, GERMANY

[3] LOUISIANA STATE UNIV, DEPT MATH, BATON ROUGE, LA 70808 USA

[4] ROSKILDE UNIV CTR, IMFUFA, DK-4000 ROSKILDE, DENMARK

来源：

ANNALES DE L INSTITUT FOURIER | 1994年 / 44卷 / 03期

关键词：

SYMMETRICAL SPACE; CAUSAL MANIFOLD; SPHERICAL FUNCTION; LAPLACE TRANSFORM;

D O I：

10.5802/aif.1421

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define on an ordered semi simple symmetric space M = G/H a family of spherical functions by an integral formula similar to the Harish-Chandra integral formula for spherical functions on a Riemannian symmetric space of non compact type. Associated with these spherical functions we define a spherical Laplace transform. This transform carries the composition product of invariant causal kernels onto the ordinary product. We invert this transform when G is a complex group, H a real form of G, and when M is a symmetric space of rank one.

引用

页码：927 / 965

页数：39

共 22 条

[1] GENERALIZED O(1,2) EXPANSIONS OF MULTIPARTICLE AMPLITUDES [J].