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標(biāo)題: Titlebook: Compactifications of Symmetric Spaces; Yves Guivarc’h,Lizhen Ji,J. C. Taylor Book 1998 Birkh?user Boston 1998 Algebra.Compactification.Fin [打印本頁(yè)]

作者: HABIT    時(shí)間: 2025-3-21 18:53
書(shū)目名稱Compactifications of Symmetric Spaces影響因子(影響力)




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作者: 奇思怪想    時(shí)間: 2025-3-21 22:18
https://doi.org/10.1007/978-3-322-95780-1ious invariants are the Laplace—Beltrami operator . and the volume measure .. The operator — L acting on L.(.) is a non-negative operator and has a non-negative lower bound λ. to its spectrum. It is known (cf. Sullivan [S4], Taylor [T3, p. 131]) that, for λ ≤ λ 0, the operator . + λ . has positive global solutions.
作者: 間諜活動(dòng)    時(shí)間: 2025-3-22 02:20

作者: 高興去去    時(shí)間: 2025-3-22 06:17

作者: AGOG    時(shí)間: 2025-3-22 09:55

作者: hazard    時(shí)間: 2025-3-22 15:24

作者: hazard    時(shí)間: 2025-3-22 19:06
https://doi.org/10.1007/978-3-322-95780-1ious invariants are the Laplace—Beltrami operator . and the volume measure .. The operator — L acting on L.(.) is a non-negative operator and has a non-negative lower bound λ. to its spectrum. It is known (cf. Sullivan [S4], Taylor [T3, p. 131]) that, for λ ≤ λ 0, the operator . + λ . has positive g
作者: CEDE    時(shí)間: 2025-3-22 21:14
Soziale Kontrolle und Individualisierungc subgroups of .. In this chapter the relation between these subgroups and sets of simple roots is discussed. Additional details for matters treated in this chapter may be found in Helgason [H2] or Warner [W1]. This chapter begins by introducing the two basic decompositions of ..
作者: evasive    時(shí)間: 2025-3-23 03:25

作者: 狼群    時(shí)間: 2025-3-23 08:00
Soziale Kosten von Energiesystemen,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
作者: Intrepid    時(shí)間: 2025-3-23 13:12

作者: DIS    時(shí)間: 2025-3-23 16:43
Soziale Krankenhausfürsorge in Deutschlandr 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
作者: 殘暴    時(shí)間: 2025-3-23 19:46

作者: 空氣傳播    時(shí)間: 2025-3-23 23:50
Norbert Spangenberg,Manfred Clemenzso-called Poisson formula (see Theorem 12.10) for the integral representation of the bounded harmonic functions, i.e., solutions of the equation . = 0 [F3]. This was proved earlier (see Corollary 8.29), using the Martin boundary of . for λ = 0. The key to the proof, presented here, is the fact that
作者: ULCER    時(shí)間: 2025-3-24 03:44

作者: 非實(shí)體    時(shí)間: 2025-3-24 08:36

作者: Deadpan    時(shí)間: 2025-3-24 12:48

作者: 華而不實(shí)    時(shí)間: 2025-3-24 18:25

作者: PANEL    時(shí)間: 2025-3-24 19:05

作者: 紳士    時(shí)間: 2025-3-25 00:20

作者: 基因組    時(shí)間: 2025-3-25 05:14
https://doi.org/10.1007/978-3-663-11406-2The main questions previously examined can also be considered in the general framework of random walks. If one takes into account the results in Chapters IX and X, this leads to new proofs and new formulations of many of the results discussed earlier.
作者: Onerous    時(shí)間: 2025-3-25 09:58

作者: Lipohypertrophy    時(shí)間: 2025-3-25 13:13

作者: 翅膀拍動(dòng)    時(shí)間: 2025-3-25 18:27
,Harnack Inequality, Martin’s Method and The Positive Spectrum for Random Walks,The study of positive eigenfunctions of the Laplace operator . is closely related to the study of convolution equations defined by probability measures .. With applications to other non-semisimple Lie groups in mind, several results for general convolution equations on a locally compact metrizable group . are established in this chapter.
作者: hazard    時(shí)間: 2025-3-25 20:57

作者: CUMB    時(shí)間: 2025-3-26 02:31
Introduction,ious invariants are the Laplace—Beltrami operator . and the volume measure .. The operator — L acting on L.(.) is a non-negative operator and has a non-negative lower bound λ. to its spectrum. It is known (cf. Sullivan [S4], Taylor [T3, p. 131]) that, for λ ≤ λ 0, the operator . + λ . has positive global solutions.
作者: Pruritus    時(shí)間: 2025-3-26 06:36

作者: alcoholism    時(shí)間: 2025-3-26 10:13

作者: 兇殘    時(shí)間: 2025-3-26 12:52

作者: Prologue    時(shí)間: 2025-3-26 19:12
Soziale Kosten von Energiesystemen, turns out that this sphere .(∞) at infinity may be given the structure of a simplicial complex Δ(.) (see Theorem 3.15 and Proposition 3.18) with respect to which it is a spherical Tits building (Definition 3.14). This is accomplished by identifying the sets of points in X(∞) stabilized by the various parabolic subgroups (see Proposition 3.9).
作者: Palliation    時(shí)間: 2025-3-26 21:06

作者: 無(wú)目標(biāo)    時(shí)間: 2025-3-27 05:02
Geometrical Constructions of Compactifications, turns out that this sphere .(∞) at infinity may be given the structure of a simplicial complex Δ(.) (see Theorem 3.15 and Proposition 3.18) with respect to which it is a spherical Tits building (Definition 3.14). This is accomplished by identifying the sets of points in X(∞) stabilized by the various parabolic subgroups (see Proposition 3.9).
作者: Eeg332    時(shí)間: 2025-3-27 05:46
Integral Representation of Positive Eigenfunctions of Convolution Operators,hey 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. This method is to used prove analogous results for convolution equations on a general class of groups that includes local field analogues of . as well as reductive Lie groups.
作者: Indebted    時(shí)間: 2025-3-27 10:13

作者: Nibble    時(shí)間: 2025-3-27 17:36
Norbert Spangenberg,Manfred Clemenz(., .) is a Gelfand pair. As a result it follows, see Corollary 12.9, that a bounded C.-function is harmonic if and only if it satisfies the mean-value property. This is not so easily proved as in Euclidean space because, if the rank of . is greater than one, . is not transitive on the geodesic spheres centered at ..
作者: 果仁    時(shí)間: 2025-3-27 17:48
Book 1998 points of view of representation theory, geometry, and random walks. This work is devoted to the study of the interrelationships among these various compactifications and, in particular, focuses on the martin compactifications. It is the first exposition to treat compactifications of symmetric spac
作者: Graduated    時(shí)間: 2025-3-28 00:52

作者: squander    時(shí)間: 2025-3-28 03:21

作者: HAIRY    時(shí)間: 2025-3-28 06:56
Introduction,ious invariants are the Laplace—Beltrami operator . and the volume measure .. The operator — L acting on L.(.) is a non-negative operator and has a non-negative lower bound λ. to its spectrum. It is known (cf. Sullivan [S4], Taylor [T3, p. 131]) that, for λ ≤ λ 0, the operator . + λ . has positive g
作者: 很是迷惑    時(shí)間: 2025-3-28 14:30

作者: Perineum    時(shí)間: 2025-3-28 15:11

作者: curettage    時(shí)間: 2025-3-28 18:57
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
作者: Conspiracy    時(shí)間: 2025-3-28 23:13
,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
作者: 控訴    時(shí)間: 2025-3-29 04:48
,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
作者: Cerebrovascular    時(shí)間: 2025-3-29 08:05

作者: 用肘    時(shí)間: 2025-3-29 12:30

作者: 不能根除    時(shí)間: 2025-3-29 18:07
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.
作者: 溫順    時(shí)間: 2025-3-29 23:45

作者: DUST    時(shí)間: 2025-3-30 00:00

作者: 全國(guó)性    時(shí)間: 2025-3-30 08:06

作者: minaret    時(shí)間: 2025-3-30 09:01

作者: 使熄滅    時(shí)間: 2025-3-30 13:04
,The Karpelevi? Compactification, is presented. It consists of fitting together the Karpelevi? compactifications of the flats . · ., . ? ., in exactly the same way that the dual cell compactification is obtained from the polyhedral compactifications of the flats . · ..
作者: stressors    時(shí)間: 2025-3-30 17:47
,The Martin Compactification , ∪ ? ,(λ),proofs of Olshanetsky’s asymptotic formulas were recently published [02], they are insufficient, as pointed out in footnote 6 in Chapter I, to deduce the (correct) results given in [02] about the Martin compactification for ? < ? ..
作者: 有其法作用    時(shí)間: 2025-3-30 20:44
Extension to Semisimple Algebraic Groups Defined Over a Local Field,d. The results are very similar to those in the case of the real field. However, to carry out the proofs used in the real case, it is necessary to have structural information about the group of rational points over the field.. Most of this information can be found in [M4, pp. 8–56].
作者: 忍耐    時(shí)間: 2025-3-31 01:15
0743-1643 dom walks..The work is largely self-contained, with comprehensive references to the literature. It is an excellent resource for both researchers and graduate st978-1-4612-7542-8978-1-4612-2452-5Series ISSN 0743-1643 Series E-ISSN 2296-505X




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