Gelfand-Naimark Decomposition and the Harish-Chandra c-Function

  • Jay Jorgenson
  • Serge Lang
Part of the Springer Monographs in Mathematics book series (SMM)


This chapter continues the integral representation of spherical functions. Most of it is due to Harish-Chandra [Har 58a], who recognized and developed the role of Ū = t U in his theory of spherical inversion. This chapter develops the information which arises from the Gelfand-Naimark decomposition.


Haar Measure Spherical Function Polar Decomposition Double Coset Absolute Convergence 
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Copyright information

© Springer-Verlag New York, Inc. 2001

Authors and Affiliations

  • Jay Jorgenson
    • 1
  • Serge Lang
    • 2
  1. 1.Department of MathematicsCity College of New York, CUNYNew YorkUSA
  2. 2.Department of MathematicsYale UniversityNew HavenUSA

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