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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)

Abstract

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)
$$f \mapsto Hf$$
where
$$f Hf(\lambda ) = \int\limits_G {f(x)\varphi (\lambda :x)dx.} $$

Keywords

Asymptotic Behaviour Differential Operator Spectral Theory Radial Component Spherical Function 
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 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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