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The Plancherel decomposition for a reductive symmetric space II. Representation theory

E. P. van den Ban, H. Schlichtkrull

Published 2001-11-29, updated 2004-11-25Version 4

We obtain the Plancherel decomposition for a reductive symmetric space in the sense of representation theory. Our starting point is the Plancherel formula for spherical Schwartz functions, obtained in part I (math.RT/0107063). The formula for Schwartz functions involves Eisenstein integrals obtained by a residual calculus. In the present paper we identify these integrals as matrix coefficients of the generalized principal series.

Comments: 60 pages, LaTeX 2e, revised introduction. Accepted by Invent. Math
Journal: Inventiones Mathematicae 161 (3) 2005, 567 - 628
Categories: math.RT
Subjects: 22E30, 22E46
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