The Plancherel decomposition for a reductive symmetric space II. Representation theory
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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.
60 pages, LaTeX 2e, revised introduction. Accepted by Invent. Math
60 pages, LaTeX 2e, revised introduction. Accepted by Invent. Math