메뉴 건너뛰기




Volumn 37, Issue 4, 2000, Pages 953-966

On the irreducibility of Dirichlet forms on domains in infinite dimensional spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0006769257     PISSN: 00306126     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (19)
  • 1
    • 0039493410 scopus 로고
    • On the essential selfadjointness of Dirichlet operators on group-valued path space
    • E. Acosta: On the essential selfadjointness of Dirichlet operators on group-valued path space, Proc. Amer. Math. Soc. 122 (1994), 581-590.
    • (1994) Proc. Amer. Math. Soc. , vol.122 , pp. 581-590
    • Acosta, E.1
  • 2
    • 0000116008 scopus 로고
    • Sobolev spaces over loop groups
    • S. Aida: Sobolev Spaces over Loop Groups, J. Funct. Anal. 127 (1995), 155-172.
    • (1995) J. Funct. Anal. , vol.127 , pp. 155-172
    • Aida, S.1
  • 3
    • 0011045450 scopus 로고    scopus 로고
    • On the irreducibility of certain Dirichlet forms on loop spaces over compact homogeneous spaces
    • (K.D. Elworthy, S. Kusuoka and I. Shigekawa, eds.), World Scientific
    • S. Aida: On the Irreducibility of Certain Dirichlet Forms on Loop Spaces over Compact Homogeneous Spaces, "Proceedings of the Taniguchi International Symposium (1994)", New Trends in Stochastic Analysis, (K.D. Elworthy, S. Kusuoka and I. Shigekawa, eds.), World Scientific, (1997), 3-42.
    • (1997) "Proceedings of the Taniguchi International Symposium (1994)", New Trends in Stochastic Analysis , pp. 3-42
    • Aida, S.1
  • 4
    • 0032324940 scopus 로고    scopus 로고
    • Differential calculus on path and loop spaces, I. Irreducibility of Dirichlet forms on loop spaces
    • S. Aida: Differential Calculus on Path and Loop Spaces, I. Irreducibility of Dirichlet Forms on Loop Spaces, Bull. Sci. Math. 122 (1998), 635-666.
    • (1998) Bull. Sci. Math. , vol.122 , pp. 635-666
    • Aida, S.1
  • 5
    • 0001332868 scopus 로고    scopus 로고
    • Uniform positivity improving property, Sobolev inequalities, and spectral gaps
    • S. Aida: Uniform positivity improving property, Sobolev inequalities, and spectral gaps, J. Funct. Anal. 158 (1998), 152-185.
    • (1998) J. Funct. Anal. , vol.158 , pp. 152-185
    • Aida, S.1
  • 7
    • 0000765766 scopus 로고
    • Classical Dirichlet forms on topological vector spaces-closability and a Cameron-Martin formula
    • S. Albeverio and M. Röckner: Classical Dirichlet forms on topological vector spaces-Closability and a Cameron-Martin formula, J. Funct. Anal. 88 (1990), 395-436.
    • (1990) J. Funct. Anal. , vol.88 , pp. 395-436
    • Albeverio, S.1    Röckner, M.2
  • 8
    • 0001625329 scopus 로고
    • Logarithmic Sobolev inequalities on loop groups
    • L. Gross: Logarithmic Sobolev Inequalities on Loop Groups, J. Funct. Anal. 102 (1991), 268-313.
    • (1991) J. Funct. Anal. , vol.102 , pp. 268-313
    • Gross, L.1
  • 9
    • 0001572330 scopus 로고
    • Uniqueness of ground states for Schrödinger operators over loop groups
    • L. Gross: Uniqueness of Ground States for Schrödinger Operators over Loop Groups, J. Funct. Anal. 112 (1993), 373-441.
    • (1993) J. Funct. Anal. , vol.112 , pp. 373-441
    • Gross, L.1
  • 11
    • 0002053242 scopus 로고
    • Dirichlet forms and diffusion processes on Banach spaces
    • S. Kusuoka: Dirichlet forms and diffusion processes on Banach spaces, J. Faculty Sci. Univ. Tokyo, 29 (1982), 79-95.
    • (1982) J. Faculty Sci. Univ. Tokyo , vol.29 , pp. 79-95
    • Kusuoka, S.1
  • 12
    • 0000469941 scopus 로고
    • The nonlinear transformation of Gaussian measure on Banach space and its absolute continuity
    • S. Kusuoka: The nonlinear transformation of Gaussian measure on Banach space and its absolute continuity, J. Faculty Sci. Univ. Tokyo, 29 (1982), 567-598.
    • (1982) J. Faculty Sci. Univ. Tokyo , vol.29 , pp. 567-598
    • Kusuoka, S.1
  • 13
    • 0007018798 scopus 로고
    • On the foundations of Wiener-Riemannian manifolds, Stochastic analysis, path integration and dynamics
    • (K.D. Elworthy and J-C. Zambrim, eds.), Longman Scientific & Technical
    • S. Kusuoka: On the foundations of Wiener-Riemannian manifolds, Stochastic analysis, path integration and dynamics, Pitman Research Notes in Mathematics Series, 200 (K.D. Elworthy and J-C. Zambrim, eds.), Longman Scientific & Technical, (1989), 130-164.
    • (1989) Pitman Research Notes in Mathematics Series , vol.200 , pp. 130-164
    • Kusuoka, S.1
  • 14
    • 0001625316 scopus 로고
    • Analysis on Wiener spaces I, nonlinear maps
    • S. Kusuoka: Analysis on Wiener Spaces I, Nonlinear Maps, J. Funct. Anal. 98 (1991), 122-168.
    • (1991) J. Funct. Anal. , vol.98 , pp. 122-168
    • Kusuoka, S.1
  • 15
    • 0002445127 scopus 로고
    • Analysis on Wiener spaces II, differential forms
    • S. Kusuoka: Analysis on Wiener Spaces II, Differential Forms, J. Funct. Anal. 103 (1992), 229-274.
    • (1992) J. Funct. Anal. , vol.103 , pp. 229-274
    • Kusuoka, S.1
  • 18
    • 21344460008 scopus 로고
    • Equivalence-singularity dichotomy for the Wiener measures on path groups and loop groups
    • G. Sadasue: Equivalence-singularity dichotomy for the Wiener measures on path groups and loop groups, J. Math. Kyoto Univ. 35 (1995), 653-662.
    • (1995) J. Math. Kyoto Univ. , vol.35 , pp. 653-662
    • Sadasue, G.1
  • 19
    • 0011331907 scopus 로고
    • A quasi-homeomorphism of the Wiener space
    • "Proc. Symp. Pure and Appl. Math.", Cornell (M. Cranston and M. Pinsky eds.)
    • I. Shigekawa: A quasi-homeomorphism of the Wiener space, "Proc. Symp. Pure and Appl. Math.", Cornell (M. Cranston and M. Pinsky eds.), Amer. Math. Soc. 57 (1995), 473-487.
    • (1995) Amer. Math. Soc. , vol.57 , pp. 473-487
    • Shigekawa, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.