SL2(R) pp 67-88 | Cite as

The Spherical Transform

  • Serge Lang
Part of the Graduate Texts in Mathematics book series (GTM, volume 105)


In this chapter we study the spectral decomposition of the algebra C c (G//K), consisting of those C functions with compact support, bi-invariant under K. We shall also determine the bounded spherical functions. We let G = SL 2(R) throughout.


Compact Support Weyl Group Spherical Function Inversion Formula Integral Expression 
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Copyright information

© Springer-Verlag New York Inc. 1985

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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