Boundary values on the full boundary
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.
KeywordsBoundary Component Parabolic Subgroup Spherical Function Characteristic Exponent Poisson Kernel
Unable to display preview. Download preview PDF.