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Volumn 157, Issue 18, 2010, Pages 2786-2802

Groups of quasi-invariance and the Pontryagin duality

Author keywords

Dual group; Group of quasi invariance; Polish group; Pontryagin duality theorem; Quasi convex group; T sequence

Indexed keywords


EID: 77957900171     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2010.08.018     Document Type: Article
Times cited : (36)

References (25)
  • 1
    • 51249184171 scopus 로고
    • The eigenvalues of non-singular transformations
    • Aaronson J. The eigenvalues of non-singular transformations. Israel J. Math. 1983, 45:297-312.
    • (1983) Israel J. Math. , vol.45 , pp. 297-312
    • Aaronson, J.1
  • 2
    • 0001170225 scopus 로고
    • L∞ eigenvalues and L2 spectra of non-singular transformations
    • Aaronson J., Nadkarni M. L∞ eigenvalues and L2 spectra of non-singular transformations. Proc. London Math. Soc. 1987, 55(3):538-570.
    • (1987) Proc. London Math. Soc. , vol.55 , Issue.3 , pp. 538-570
    • Aaronson, J.1    Nadkarni, M.2
  • 3
    • 77957928846 scopus 로고    scopus 로고
    • Contributions to the duality theory of Abelian topological groups and to the theory of nuclear groups, Dissertation, Tübingen, 1998, Dissertationes Math. (Rozprawy Mat.)
    • L. Außenhofer, Contributions to the duality theory of Abelian topological groups and to the theory of nuclear groups, Dissertation, Tübingen, 1998, Dissertationes Math. (Rozprawy Mat.) 384 (1999) 113.
    • (1999) , vol.384 , pp. 113
    • Außenhofer, L.1
  • 4
    • 0003208315 scopus 로고
    • Additive Subgroups of Topological Vector Spaces
    • Springer, Berlin/Heidelberg/New York
    • Banaszczyk W. Additive Subgroups of Topological Vector Spaces. Lecture Notes in Math. 1991, vol. 1466. Springer, Berlin/Heidelberg/New York.
    • (1991) Lecture Notes in Math. , vol.1466
    • Banaszczyk, W.1
  • 5
    • 0039679783 scopus 로고    scopus 로고
    • Some properties of locally quasi-convex groups
    • Bruguera M. Some properties of locally quasi-convex groups. Topology Appl. 1997, 77:87-94.
    • (1997) Topology Appl. , vol.77 , pp. 87-94
    • Bruguera, M.1
  • 6
    • 0032221011 scopus 로고    scopus 로고
    • Pontryagin duality for metrizable groups
    • Chasco M.J. Pontryagin duality for metrizable groups. Arch. Math. 1998, 70:22-28.
    • (1998) Arch. Math. , vol.70 , pp. 22-28
    • Chasco, M.J.1
  • 7
    • 34250297080 scopus 로고
    • Quasi-invariance of measures under translation
    • Chatterji S.D., Mandrekar V. Quasi-invariance of measures under translation. Math. Z. 1977, 154(1):19-29.
    • (1977) Math. Z. , vol.154 , Issue.1 , pp. 19-29
    • Chatterji, S.D.1    Mandrekar, V.2
  • 9
    • 77957891334 scopus 로고    scopus 로고
    • Admissible transformations of measures
    • (in Russian)
    • Gabriyelyan S.S. Admissible transformations of measures. J. Math. Phys. Anal. Geom. 2005, 1(2):155-181. (in Russian).
    • (2005) J. Math. Phys. Anal. Geom. , vol.1 , Issue.2 , pp. 155-181
    • Gabriyelyan, S.S.1
  • 10
    • 77957911928 scopus 로고    scopus 로고
    • Topological properties of the set of admissible transformations of measures
    • Gabriyelyan S.S. Topological properties of the set of admissible transformations of measures. J. Math. Phys. Anal. Geom. 2006, 2(1):9-39.
    • (2006) J. Math. Phys. Anal. Geom. , vol.2 , Issue.1 , pp. 9-39
    • Gabriyelyan, S.S.1
  • 13
    • 51249177420 scopus 로고
    • Quasi-invariant measures on commutative Lie groups of infinite product type
    • Hora A. Quasi-invariant measures on commutative Lie groups of infinite product type. Math. Z. 1991, 206(2):169-192.
    • (1991) Math. Z. , vol.206 , Issue.2 , pp. 169-192
    • Hora, A.1
  • 14
    • 0002808866 scopus 로고
    • Non singular transformations and spectral analysis of measures
    • Host B., Mela J.-F., Parreau F. Non singular transformations and spectral analysis of measures. Bull. Soc. Math. France 1991, 119:33-90.
    • (1991) Bull. Soc. Math. France , vol.119 , pp. 33-90
    • Host, B.1    Mela, J.-F.2    Parreau, F.3
  • 15
    • 0000142226 scopus 로고
    • Extensions of the Pontryagin duality, I: Infinite products
    • Kaplan S. Extensions of the Pontryagin duality, I: Infinite products. Duke Math. 1948, 15:649-658.
    • (1948) Duke Math. , vol.15 , pp. 649-658
    • Kaplan, S.1
  • 16
    • 0000067766 scopus 로고
    • K-Groups and duality
    • Noble N. k-Groups and duality. Trans. Amer. Math. Soc. 1970, 151(2):551-561.
    • (1970) Trans. Amer. Math. Soc. , vol.151 , Issue.2 , pp. 551-561
    • Noble, N.1
  • 17
    • 0011683954 scopus 로고
    • Measures with real spectra
    • Parreau F. Measures with real spectra. Invent. Math. 1989, 98(2):311-330.
    • (1989) Invent. Math. , vol.98 , Issue.2 , pp. 311-330
    • Parreau, F.1
  • 18
    • 0039720207 scopus 로고
    • Ergodicite et purete des produits de Riesz
    • Parreau F. Ergodicite et purete des produits de Riesz. Ann. Inst. Fourier 1990, 40(2):391-405.
    • (1990) Ann. Inst. Fourier , vol.40 , Issue.2 , pp. 391-405
    • Parreau, F.1
  • 19
    • 84973958483 scopus 로고
    • Free Abelian topological groups and the Pontryagin-van Kampen duality
    • Pestov V. Free Abelian topological groups and the Pontryagin-van Kampen duality. Bull. Austral. Math. Soc. 1995, 52:297-311.
    • (1995) Bull. Austral. Math. Soc. , vol.52 , pp. 297-311
    • Pestov, V.1
  • 20
    • 0346996484 scopus 로고
    • Some remarks on monothetic group
    • Rolewicz S. Some remarks on monothetic group. Colloq. Math. 1964, 13(1):27-28.
    • (1964) Colloq. Math. , vol.13 , Issue.1 , pp. 27-28
    • Rolewicz, S.1
  • 21
    • 45849112130 scopus 로고    scopus 로고
    • On quasi-invariance of infinite product measures
    • Sadasue G. On quasi-invariance of infinite product measures. J. Theoret. Probab. 2008, 21:571-585.
    • (2008) J. Theoret. Probab. , vol.21 , pp. 571-585
    • Sadasue, G.1
  • 23
    • 0000903126 scopus 로고
    • The Pontryagin duality theorem in linear spaces
    • Smith M.F. The Pontryagin duality theorem in linear spaces. Ann. of Math. 1952, 56(2):248-253.
    • (1952) Ann. of Math. , vol.56 , Issue.2 , pp. 248-253
    • Smith, M.F.1
  • 24
    • 0040271568 scopus 로고
    • The theory of characters of topological Abelian groups with boundedness given
    • (in Russian)
    • Vilenkin N.Ya. The theory of characters of topological Abelian groups with boundedness given. Izv. Akad. Nauk SSSR 1951, 15(5):439-462. (in Russian).
    • (1951) Izv. Akad. Nauk SSSR , vol.15 , Issue.5 , pp. 439-462
    • Vilenkin, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.