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Titlebook: Compactifications of Symmetric Spaces; Yves Guivarc’h,Lizhen Ji,J. C. Taylor Book 1998 Birkh?user Boston 1998 Algebra.Compactification.Fin

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41#
發(fā)表于 2025-3-28 15:11:40 | 只看該作者
42#
發(fā)表于 2025-3-28 18:57:24 | 只看該作者
The Satake-Furstenberg Compactifications,tomorphic forms and of representations. Furstenberg [F3] considered boundary value problems at infinity for the Laplacian on symmetric spaces and was led to isomorphic compactifications, as was shown by Moore [M8]. While these two families of compactifications are isomorphic, they are defined by qui
43#
發(fā)表于 2025-3-28 23:13:55 | 只看該作者
,The Karpelevi? Compactification,flat . · . in ., a non-inductive characterization of the closure . of . is obtained (see Theorem 5.6). The nature of the Karpelevi? topology restricted to the flat is clarified by the introduction of the class of K- fundament al sequences. Using this concept, one shows that (mathtype) is isomorphic
44#
發(fā)表于 2025-3-29 04:48:57 | 只看該作者
,The Martin Compactification , ∪ ? ,(λ),r the Laplace—Beltrami operator on a symmetric space of non-compact type. He restricted his attention to the space SL(.,C)/SU(.). This space is especially amenable to a study of the Martin compactification because one has an explicit formula for the Green function Gx that is a consequence of a remar
45#
發(fā)表于 2025-3-29 08:05:45 | 只看該作者
46#
發(fā)表于 2025-3-29 12:30:03 | 只看該作者
47#
發(fā)表于 2025-3-29 18:07:34 | 只看該作者
Integral Representation of Positive Eigenfunctions of Convolution Operators,enfunctions. When . is a general symmetric space of non-compact type, these eigenfunctions were first determined by Karpelevi? [K3]. In this chapter they are determined by using convolution equations (see Theorems 13.1, 13.23, and 13.28), a method first used by Furstenberg for semisimple Lie groups.
48#
發(fā)表于 2025-3-29 23:45:39 | 只看該作者
49#
發(fā)表于 2025-3-30 00:00:18 | 只看該作者
50#
發(fā)表于 2025-3-30 08:06:50 | 只看該作者
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