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Polar Decomposition

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

Abstract

So far we have dealt mostly with the Iwasawa decomposition from various points of view: projection on invariant differential operators, spherical functions, etc. Already in studying spherical functions, the action of K on the left was crucial. In the present chapter, and the next two, we deal with an alternate continuation of Chapter III, independent of the Gelfand-Naimark decomposition, namely we deal with the polar decomposition G = KAK. We also complement Chapter IV, §6 in §3.

Keywords

Haar Measure Spherical Function Regular Element Polar Decomposition Linear Isomorphism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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