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Part of the book series: Progress in Mathematics ((PM,volume 49))

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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.

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© 1984 Birkhäuser Boston, Inc.

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Schlichtkrull, H. (1984). Boundary values on the full boundary. In: Hyperfunctions and Harmonic Analysis on Symmetric Spaces. Progress in Mathematics, vol 49. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5298-6_6

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  • DOI: https://doi.org/10.1007/978-1-4612-5298-6_6

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-9775-8

  • Online ISBN: 978-1-4612-5298-6

  • eBook Packages: Springer Book Archive

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