Weighted Orbital Integrals

  • Rebecca A. Herb
Part of the Progress in Mathematics book series (PM, volume 40)


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.


Wave Packet Conjugacy Class Parabolic Subgroup Cusp Form Discrete Series 
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Copyright information

© Birkhäuser Boston, Inc. 1983

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  • Rebecca A. Herb

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