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)


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.


Fourier Analysis Asymptotic Expansion Wave Packet Simple Root Schwartz Space 
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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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