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Volumn 14, Issue 3, 2001, Pages 887-898

On the Absolute Continuity of Gaussian Measures on Locally Compact Groups

Author keywords

Absolute continuity; Gaussian measure; Groups; Haar measure

Indexed keywords


EID: 0035622653     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1012261627108     Document Type: Article
Times cited : (8)

References (16)
  • 1
    • 0001310034 scopus 로고    scopus 로고
    • Potential theory on infinite products and groups
    • Bendikov, A., and Saloff-Coste, L. (1999). Potential theory on infinite products and groups. Potential Analysis 11, 325-358.
    • (1999) Potential Analysis , vol.11 , pp. 325-358
    • Bendikov, A.1    Saloff-Coste, L.2
  • 2
    • 85011815953 scopus 로고    scopus 로고
    • Central Gaussian semigroups of measures with continuous density
    • Bendikov, A., and Saloff-Coste, L. Central Gaussian semigroups of measures with continuous density. To appear in J. Funct. Anal.
    • J. Funct. Anal.
    • Bendikov, A.1    Saloff-Coste, L.2
  • 4
    • 85011842882 scopus 로고
    • Homogeneous spaces of curvature bounded below
    • Preprint University Tenesse, Knoxville
    • Berestovskii, V. W., and Plaut, C. (1995). Homogeneous spaces of curvature bounded below, Preprint University Tenesse, Knoxville. To appear in J. of Geometric Analysis.
    • (1995) J. of Geometric Analysis
    • Berestovskii, V.W.1    Plaut, C.2
  • 5
    • 0001195995 scopus 로고
    • Projective Lie algebra bases of a locally compact group and uniform differentiability
    • Born, E. (1989). Projective Lie algebra bases of a locally compact group and uniform differentiability. Math. Zeit. 200, 279-292.
    • (1989) Math. Zeit. , vol.200 , pp. 279-292
    • Born, E.1
  • 7
    • 0041713548 scopus 로고
    • On Gaussian distributions on locally compact Abelian groups
    • Feldman, G. (1978). On Gaussian distributions on locally compact Abelian groups. Theory of Probability and its Application 3, 548-563.
    • (1978) Theory of Probability and Its Application , vol.3 , pp. 548-563
    • Feldman, G.1
  • 8
    • 0002482878 scopus 로고
    • The structure of locally compact groups and Hilbert's Fifth Problem
    • Glushkov, V. N. (1960). The structure of locally compact groups and Hilbert's Fifth Problem. AMS Translations 15, 55-94.
    • (1960) AMS Translations , vol.15 , pp. 55-94
    • Glushkov, V.N.1
  • 10
    • 0004120305 scopus 로고
    • Probability Measures on Locally Compact Groups
    • Springer, Berlin/Heidelberg/New York
    • Heyer, H. (1977). Probability Measures on Locally Compact Groups. Ergeb. der Math. und ihren Grenzgeb. 94, Springer, Berlin/Heidelberg/New York.
    • (1977) Ergeb. der Math. und Ihren Grenzgeb. , vol.94
    • Heyer, H.1
  • 13
    • 0006806475 scopus 로고
    • Absolut-Stetigkeit und Träger von Gauss-Verteilungen auf lokalkompakten Gruppen
    • Siebert, E. (1977). Absolut-Stetigkeit und Träger von Gauss-Verteilungen auf lokalkompakten Gruppen. Math. Ann. 210, 129-147.
    • (1977) Math. Ann. , vol.210 , pp. 129-147
    • Siebert, E.1
  • 14
    • 0001256409 scopus 로고
    • Absolute continuity, singularity and supports of Gaussian semigroups on a Lie group
    • Siebert, E. (1982). Absolute continuity, singularity and supports of Gaussian semigroups on a Lie group. Monatshefte für Math. 93, 239-253.
    • (1982) Monatshefte für Math. , vol.93 , pp. 239-253
    • Siebert, E.1
  • 15
    • 0042715055 scopus 로고
    • Some properties of locally compact groups
    • Rickert (1967). Some properties of locally compact groups. J. Austral. Math. Soc. 7, 433-454.
    • (1967) J. Austral. Math. Soc. , vol.7 , pp. 433-454
    • Rickert1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.