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Volumn 213, Issue 2, 2004, Pages 440-465

Metrics Hs and behaviours as s↓1/2 on loop groups

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EID: 3242885465     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfa.2003.07.006     Document Type: Article
Times cited : (1)

References (10)
  • 1
    • 0004226166 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequalities for free loop groups
    • Ph.D. Thesis, University of California, San Diego
    • T.R. Carson, Logarithmic Sobolev inequalities for free loop groups, Ph.D. Thesis, University of California, San Diego, 1997
    • (1997)
    • Carson, T.R.1
  • 2
    • 0030587376 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequalities for pinned loop groups
    • Driver B.K. Lohrenz T. Logarithmic Sobolev inequalities for pinned loop groups J. Funct. Anal. 140 1996 381-448
    • (1996) J. Funct. Anal. , vol.140 , pp. 381-448
    • Driver, B.K.1    Lohrenz, T.2
  • 3
    • 0000515916 scopus 로고    scopus 로고
    • Integration by parts and quasi-invariance for heat kernel measures on loop groups
    • Driver B.K. Integration by parts and quasi-invariance for heat kernel measures on loop groups J. Funct. Anal. 149 1997 470-547
    • (1997) J. Funct. Anal. , vol.149 , pp. 470-547
    • Driver, B.K.1
  • 4
    • 0039526911 scopus 로고    scopus 로고
    • Integration by parts formula and logarithmic Sobolev inequality on the path space over loop groups
    • Fang S. Integration by parts formula and logarithmic Sobolev inequality on the path space over loop groups Ann. Probab. 27 1999 664-683
    • (1999) Ann. Probab. , vol.27 , pp. 664-683
    • Fang, S.1
  • 5
    • 0031571532 scopus 로고    scopus 로고
    • De Rham-Hodge-Kodaira operator on loop groups
    • Fang S. Franchi J. De Rham-Hodge-Kodaira operator on loop groups J. Funct. Anal. 148 1997 391-407
    • (1997) J. Funct. Anal. , vol.148 , pp. 391-407
    • Fang, S.1    Franchi, J.2
  • 6
    • 3242893002 scopus 로고    scopus 로고
    • s on free loop groups
    • Preprint
    • s on free loop groups, Preprint 2002.
    • (2002)
    • Fang, S.1    Gong, F.2
  • 7
    • 84972518061 scopus 로고
    • The geometry of loop groups
    • Freed S. The geometry of loop groups J. Differential Geom. 28 1988 223-276
    • (1988) J. Differential Geom. , vol.28 , pp. 223-276
    • Freed, S.1
  • 8
    • 0012995671 scopus 로고    scopus 로고
    • Logarithmic Sobolev inequality on free loop groups for heat kernel measures associated with the general Sobolev spaces
    • Inahama Y. Logarithmic Sobolev inequality on free loop groups for heat kernel measures associated with the general Sobolev spaces J. Funct. Anal. 179 2001 170-213
    • (2001) J. Funct. Anal. , vol.179 , pp. 170-213
    • Inahama, Y.1
  • 9
    • 0002528051 scopus 로고
    • Hypoellipticity in infinite dimension
    • M. Pinsky (Ed.), (Chicago 1989), Birkhaüser, Basel
    • P. Malliavin, Hypoellipticity in infinite dimension, in: M. Pinsky (Ed.), Diffusion Processes and Related Problems in Analysis, Vol. I (Chicago 1989), Birkhaüser, Basel, 1991, pp. 17-33
    • (1991) Diffusion Processes and Related Problems in Analysis , vol.1 , pp. 17-33
    • Malliavin, P.1
  • 10
    • 0003863511 scopus 로고
    • Loop Group
    • Clarendon, Oxford: Oxford Mathematical Monographs
    • Pressley A. Segal G. Loop Group 1986 Oxford Mathematical Monographs Clarendon, Oxford
    • (1986)
    • Pressley, A.1    Segal, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.