TABLE OF CONTENTS
Introduction 1
Chapter L Some geometric properties of differential Operators 4
§ 1. Projections, transversal parts, and Separation of variables for differential Opera-
tors 4
§2. Transversality conditions. Radial part of a differential Operator 9
Chapter IL Spherical functions on Symmetrie Spaces 24
§1. Differential Operators and spherical functions 24
§2. Spherical functions and spherical representations 32
§3. Eigenfunctions and existence theorems 34
Chapter HL Conical distributions on the space of horoeycles 37
§1. Conical distributions and differential equations 37
§2. Conical distributions and representations 41
Chapter IV. Central eigendistributions and characters 43
§1. The analyticity on the regulär set 43
§2. The local integrability theorem 47
§3. The determination of the central eigendistributions. The case SL(2, R) 55
Bibliography 61
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