0. INTRODUCTION Let G be a real reductive Lie group (of Harish-Chandra’s class), 7 an
involution of G and H an open subgroup of the group GT of fixed points for 7. Then G has a r-…

Fourier inversion on a reductive symmetric space Page 1 Acta Math., 182 (1999), 25 85 (~)
1999 by Institut Mittag-Leffier. All rights reserved Fourier inversion on a reductive symmetric …

Let X= G/K be a Riemannian Symmetrie space of the noncompact type with boundary B= K/M,
and let ID)(X) be the algebra of all G-invariant differential operators on X. In harmonic …

We study the action of standard intertwining operators on H-fixed generalized vectors in the
minimal principal series of a reductive symmetric space GH of Harish-Chandra's class. The …

O. INTRODUCTION Let G be a real reductive Lie group (of Harish-Chandra’s class),-r an
involution of G and H an open subgroup of the group G’of fixed points for 1. Then G has a r-…

ASYMPTOTIC EXPANSIONS ON SYMMETRIC SPACES ERIK VAN DEN BAN and HENRIK
SCHLICHTKRULL University of Utrecht and Royal Veterinary a Page 1 ASYMPTOTIC …

Let G/H be a semisimple symmetric space, where G is a connected semisimple real Lie group
with an involution or, and H is an open subgroup of the fix point group G". Assume that G …

Abstract Harmonic analysis on homogeneous spaces is a far-reaching generalization of the
classical theory of Fourier series and Fourier integrals. It is a branch of functional analysis …

• Reductive groups and Lie algebras admit interesting substructures and decompositions.
Explain some of them on the example of SL2. In particular the Cartan, Bruhat, Iwasawa and …