Boundary values on the full boundary

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


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.


Boundary Component Parabolic Subgroup Spherical Function Characteristic Exponent Poisson Kernel 
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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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