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

E. P. van den Ban·H. Schlichtkrull
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Abstract

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.

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E. P. van den Ban, H. Schlichtkrull. 2004-11-25. The Plancherel decomposition for a reductive symmetric space II. Representation theory. https://doi.org/10.1007/s00222-004-0432-x

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