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46 Dual topology of the motion groups SO(n) ⋉ R n
Bibliographie [Ba] W. Baggett, A description of the topology on the dual spaces of certain locally compact groups, Trans. Amer. Math. Soc. 132 (1968), 175-215. [Be-Ka] M.B. Bekka, E. Kaniuth, Irreducible representations of locally compact groups that cannot be Hausdorff separated from the identity representation. J. Reine Angew. Math. 385 (1988), 203-220. [BJLR] C. Benson, J. Jenkins, R. Lipsman and G. Ratcliff, A geometric criterion for Gelfand pairs associated with the Heisenberg group, Pacific J. Math. 178 (1997), no. 1, 1–36. [Fe] J. M. G. Fell, Weak containment and induced representations of groups (II), Trans. Amer. Math. Soc. 110 (1964), 424-447. [Kan-Ta] E. Kaniuth, K. F. Taylor, Kazhdan constants and the dual space topology. Math. Ann. 293,(1992), 495-508. [Knapp] A.W. Knapp, Branching theorems for compact symmetric spaces, Journal of the Amer. Math. Soc. 5 (2001), 404-436. [Lep-Lud] H. Leptin, J. Ludwig, Unitary representation theory of exponential Lie groups, De Gruyter Expositions in Mathematics 18, 1994. [Lipsman] R. L. Lipsman, Orbit theory and harmonic analysis on Lie groups with co-compact nilradical, Journal de Mathématiques Pures et Appliquées, t.59, (1980), p. 337-374. [Mackey1] G.W. Mackey, The theory of unitary group representations, Chicago University Press, 1976. [Mackey2] G.W. Mackey, Unitary group representations in physics, Probability and Number Theory, Benjamin-Cummings, 1978.
Page 1: UNIVERSITÉ PAUL VERLAINE - METZ É
Page 5 and 6: Résumé Le premier problème abord
Page 7 and 8: REMERCIEMENT Je tiens à remercier
Page 9 and 10: Table des matières 1 Généralité
Page 11 and 12: Introduction Les groupes de Lie s
Page 13 and 14: sibles. Même le cas le plus simple
Page 15 and 16: Chapitre 1 Généralités Nous donn
Page 17 and 18: 1.2 Orbites coadjointes 17 On en d
Page 19 and 20: 1.3 Représentations induites 19 D
Page 21 and 22: 1.5 Produit semi-direct compact nil
Page 23 and 24: 1.6 Théorie des orbites pour les g
Page 25 and 26: 1.7 Topologie sur le dual unitaire
Page 27 and 28: 1.7 Topologie sur le dual unitaire
Page 29 and 30: Bibliographie [Ba] L. W. Baggett, A
Page 31 and 32: Chapitre 2 Dual topology of the mot
Page 33 and 34: 2.2 The Motion groups and their dua
Page 39 and 40: 2.4 Convergence of co-adjoint orbit
Page 45: 2.4 Convergence of co-adjoint orbit
Page 49 and 50: Chapitre 3 On the dual topology of
Page 51 and 52: 3.2 Preliminaries. 51 3.2 Prelimina
Page 53 and 54: 3.2 Preliminaries. 53 and Ad ∗ (A
Page 55 and 56: 3.2 Preliminaries. 55 as for α > 0
Page 57 and 58: 3.3 Convergence in the quotient spa
Page 69 and 70: 3.4 Some theorems on the dual topol
Page 71 and 72: 3.5 The topology of the dual space
Page 85 and 86: Bibliographie [Ba] L. W. Baggett, A
Page 87 and 88: Chapitre 4 Flat orbits and kernels
Page 89 and 90: 4.2 Preliminaries 89 4.2 Preliminar
Page 91 and 92: 4.2 Preliminaries 91 We remark that
Page 93 and 94: 4.3 Flat Orbits 93 (π(f)η)(x) = =
Page 95 and 96: 4.3 Flat Orbits 95 As j � P ( ˜
Page 97 and 98:
4.3 Flat Orbits 97 On the other han
Page 99 and 100:
4.4 Representations Associated to F
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Page 111:
Bibliographie [Ber-Con] M. P. Berna
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