Titlebook: Hyperfunctions and Harmonic Analysis on Symmetric Spaces; Henrik Schlichtkrull Book 1984 Birkh?user Boston, Inc. 1984 Microlocal analysis.

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Boundary values on the full boundary,G/K has rank < 1 this is, however, only a small part of the boundary of G/K in X?, 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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Construction of functions with integrable square,nique up to scalars. Hence the Hilbert space L. (G/H) makes sense, and we can study the unitary representation . (g,x . G) of G on this space. It is the purpose of L.-harmonic analysis on G/H to give an explicit decomposition (in general as a direct integral) of this representation into irreducibles

馬籠頭

Progress in Mathematicshttp://image.papertrans.cn/h/image/430632.jpg

SPECT

古老

感情脆弱

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Evocative

A compact imbedding,Let X be a Riemannian symmetric space. It is the purpose of this chapter to construct an imbedding of X into a compact real analytic manifold X?. For the study of the asymptotic behavior of functions on X, which we shall carry out in the next chapters, this is of crucial importance.

愛花花兒憤怒

Boundary values and Poisson integral representations,Consider the open disk D = {|z| > 1} in . with the boundary T = {|z| = 1}. The classical Poisson kernel is defined by . for z . D , t . T , and the Poisson transform .f on D of a function f on T is given by