Characters, Eigenfunctions, Spherical Kernel and W-Invariance

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


To go further in describing the invariant differential operators, we have to introduce characters and eigenfunctions. We deal with three types of characters:
  • - characters on A, that is continuous homomorphism AC*;

  • - characters on a, so functional aR or acC;

  • - algebra characters, namely C-characters of the algebra of invariant differential operators, that is algebra homomorphisms into C.


Weyl Group Haar Measure Spherical Function Regular Element Algebra Homomorphism 
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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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