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Volumn 210, Issue 1, 2004, Pages 101-124

Holomorphy of spectral multipliers of the Ornstein-Uhlenbeck operator

Author keywords

Functional calculus; Ornstein Uhlenbeck operator; Uniform spectral multiplier

Indexed keywords


EID: 1942467315     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfa.2003.08.010     Document Type: Article
Times cited : (24)

References (15)
  • 1
    • 0002925263 scopus 로고
    • L'hypercontractivité et son utilisation en théorie des semi-groupes
    • D. Bakry, R.D. Gill, S.A. Molchanov (Eds.), Springer Lecture Notes in Mathematics
    • D. Bakry, L'hypercontractivité et son utilisation en théorie des semi-groupes, in: D. Bakry, R.D. Gill, S.A. Molchanov (Eds.), Lectures on Probability Theory, Springer Lecture Notes in Mathematics, Vol. 1581, 1994, pp. 1-114.
    • (1994) Lectures on Probability Theory , vol.1581 , pp. 1-114
    • Bakry, D.1
  • 2
    • 0040240147 scopus 로고    scopus 로고
    • p spectral multipliers for a solvable Lie group
    • p spectral multipliers for a solvable Lie group, Geom. Funct. Anal. 6 (1996) 860-876.
    • (1996) Geom. Funct. Anal. , vol.6 , pp. 860-876
    • Christ, M.1    Müller, D.2
  • 4
    • 0002191120 scopus 로고
    • Harmonic analysis on semigroups
    • M. Cowling, Harmonic analysis on semigroups, Ann. of Math. 117 (1983) 267-283.
    • (1983) Ann. of Math. , vol.117 , pp. 267-283
    • Cowling, M.1
  • 6
    • 0003287060 scopus 로고
    • Heat Kernels and Spectral Theory
    • Cambridge University Press, Cambridge
    • E.B. Davies, Heat Kernels and Spectral Theory, in: Cambridge Tracts in Mathematics, Vol. 92, Cambridge University Press, Cambridge, 1989.
    • (1989) Cambridge Tracts in Mathematics , vol.92
    • Davies, E.B.1
  • 8
    • 38249025633 scopus 로고
    • The hypercontractive approach to exactly bounding an operator with complex Gaussian kernel
    • J.B. Epperson, The hypercontractive approach to exactly bounding an operator with complex Gaussian kernel, J. Funct. Anal. 87 (1989) 1-30.
    • (1989) J. Funct. Anal. , vol.87 , pp. 1-30
    • Epperson, J.B.1
  • 11
    • 0032194931 scopus 로고    scopus 로고
    • Spectral multipliers on exponential growth solvable Lie groups
    • W. Hebisch, Spectral multipliers on exponential growth solvable Lie groups, Math. Z. 229 (1998) 435-441.
    • (1998) Math. Z. , vol.229 , pp. 435-441
    • Hebisch, W.1
  • 12
    • 0039694642 scopus 로고    scopus 로고
    • p type on rank one AN-groups and related solvable groups
    • p type on rank one AN-groups and related solvable groups, J. Funct. Anal. 170 (2000) 366-427.
    • (2000) J. Funct. Anal. , vol.170 , pp. 366-427
    • Ludwig, J.1    Müller, D.2
  • 14
    • 84968508621 scopus 로고
    • A general multiplier theorem
    • S. Meda, A general multiplier theorem, Proc. Amer. Math. Soc. 110 (1990) 639-647.
    • (1990) Proc. Amer. Math. Soc. , vol.110 , pp. 639-647
    • Meda, S.1
  • 15
    • 0003687441 scopus 로고
    • Functional Analysis Revised and Enlarged Edition, Academic Press, New York
    • M. Reed, B. Simon, Methods of Modern Mathematical Physics, Vol. I. Functional Analysis Revised and Enlarged Edition, Academic Press, New York, 1980.
    • (1980) Methods of Modern Mathematical Physics , vol.1
    • Reed, M.1    Simon, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.