Weighted Orbital Integrals
Let G be a reductive Lie group of Harish-Chandra class, K a maximal compact subgroup of G, and θ the corresponding Cartan involution. Suppose initially that rank G = rank K so that G has discrete series representations. Then Harish-Chandra has proved the following theorem relating orbital integrals of matrix coefficients and characters for discrete series representations.
KeywordsWave Packet Conjugacy Class Parabolic Subgroup Cusp Form Discrete Series
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