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Lp-Theory of Harish-Chandra Transform. Fourier Analysis on the Spaces P(G//K)

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

Abstract

The aim of the present chapter is to study the Lp-counter part of the L2-theory that was developed in Chapters 5 and 6. This will be done by studying the Harish-Chandra transforms of functions in a certain family of spaces P (G//K), 0 < p < 2. For p = 2, 2 is merely the space (G//K), while for p = 1, we get the L1-analogue of (G//K). The end result will be a complete characterization of the algebra of transforms of the spaces.

Keywords

Fourier Analysis Asymptotic Expansion Wave Packet Simple Root Schwartz Space 
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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