Gyrate 发表于 2025-3-23 11:57:33
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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 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.cocoon 发表于 2025-3-23 18:32:23
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马笼头 发表于 2025-3-23 22:10:59
Progress in Mathematicshttp://image.papertrans.cn/h/image/430632.jpgSPECT 发表于 2025-3-24 03:06:04
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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 X̃. 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.爱花花儿愤怒 发表于 2025-3-25 02:41:01
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