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Boundary values on the full boundary

  • Henrik Schlichtkrull
Chapter
Part of the Progress in Mathematics book series (PM, volume 49)

Abstract

In the preceding chapter we have represented the joint eigenfunctions on G/K as Poisson integrals of their hyperfunction boundary values on K/M. When G/K has rank < 1 this is, however, only a small part of the boundary of G/K in X̃, and it is important to have analogous results for the other G-orbits in the boundary. In this chapter we therefore generalize the results of Chapter 5 to this situation.

Keywords

Boundary Component Parabolic Subgroup Spherical Function Characteristic Exponent Poisson Kernel 
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

© Birkhäuser Boston, Inc. 1984

Authors and Affiliations

  • Henrik Schlichtkrull
    • 1
  1. 1.Mathematical InstituteUniversity of CopenhagenCopenhagenDenmark

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