Asymptotic Behaviour of Elementary Spherical Functions

  • Ramesh Gangolli
  • Veeravalli S. Varadarajan
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 101)


This chapter, as well as the next one, will be devoted to the formulation and proofs of the main theorems of the L2 harmonic analysis of spherical functions. At the center of the theory is the Harish-Chandra transform (see §3.3)
$$f \mapsto Hf$$
$$f Hf(\lambda ) = \int\limits_G {f(x)\varphi (\lambda :x)dx.} $$


Asymptotic Behaviour Differential Operator Spectral Theory Radial Component Spherical Function 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Ramesh Gangolli
    • 1
  • Veeravalli S. Varadarajan
    • 2
  1. 1.Department of MathematicsUniversity of WashingtonSeattleUSA
  2. 2.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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