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Volumn 182, Issue 2, 1999, Pages 159-206

Hypercontractivity over complex manifolds

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EID: 0000666876     PISSN: 00015962     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02392573     Document Type: Article
Times cited : (32)

References (55)
  • 1
    • 0001332868 scopus 로고    scopus 로고
    • Uniform positivity improving property, Sobolev inequalities, and spectral gaps
    • AIDA, S., 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
  • 2
    • 0000920853 scopus 로고
    • Logarithmic Sobolev inequalities and exponential integrability
    • AIDA, S., MASUDA, T. & SHIGEKAWA, I., Logarithmic Sobolev inequalities and exponential integrability. J. Funct. Anal., 126 (1994), 83-101.
    • (1994) J. Funct. Anal. , vol.126 , pp. 83-101
    • Aida, S.1    Masuda, T.2    Shigekawa, I.3
  • 3
    • 0000920852 scopus 로고
    • Logarithmic Sobolev inequalities and spectral gaps: Perturbation theory
    • AIDA, S. & SHIGEKAWA, I., Logarithmic Sobolev inequalities and spectral gaps: perturbation theory. J. Funct. Anal., 126 (1994), 448 475.
    • (1994) J. Funct. Anal. , vol.126 , pp. 448475
    • Aida, S.1    Shigekawa, I.2
  • 4
    • 0002925263 scopus 로고
    • L'hypercontractivité et son utilisation en théorie des semigroupes
    • Saint-Flour
    • BAKRY, D., L'hypercontractivité et son utilisation en théorie des semigroupes, in Lectures on Probability Theory (Saint-Flour, 1992), pp. 1 114. Lecture Notes in Math., 1581. Springer-Verlag, Berlin, 1994.
    • (1992) Lectures on Probability Theory , pp. 1114
    • Bakry, D.1
  • 5
    • 0004034109 scopus 로고
    • Springer-Verlag, Berlin
    • BAKRY, D., L'hypercontractivité et son utilisation en théorie des semigroupes, in Lectures on Probability Theory (Saint-Flour, 1992), pp. 1 114. Lecture Notes in Math., 1581. Springer-Verlag, Berlin, 1994.
    • (1994) Lecture Notes in Math. , vol.1581
  • 7
    • 0000458474 scopus 로고
    • Some integral identities and inequalities for entire functions and their applications to the coherent state transform
    • CARLEN, E. A., Some integral identities and inequalities for entire functions and their applications to the coherent state transform. J. Funct. Anal., 97 (1991), 231-249.
    • (1991) J. Funct. Anal. , vol.97 , pp. 231-249
    • Carlen, E.A.1
  • 8
    • 0003287060 scopus 로고
    • Heat kernels and spectral theory
    • Cambridge Univ. Press, Cambridge New York
    • DAVIES, E. B., Heat Kernels and Spectral Theory. Cambridge Tracts in Math., 92. Cambridge Univ. Press, Cambridge New York, 1989.
    • (1989) Cambridge Tracts in Math. , vol.92
    • Davies, E.B.1
  • 9
    • 0000573290 scopus 로고
    • Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
    • DAVIES, E. B. & SIMON, B., Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians. J. Funct. Anal., 59 (1984), 335 395.
    • (1984) J. Funct. Anal. , vol.59 , pp. 335-395
    • Davies, E.B.1    Simon, B.2
  • 10
    • 0003341571 scopus 로고
    • Large deviations
    • Academic Press, Boston, MA
    • DEUSCHEL, J.-D. & STROOCK, D.W., Large Deviations. Pure Appl. Math., 137. Academic Press, Boston, MA, 1989.
    • (1989) Pure Appl. Math. , vol.137
    • Deuschel, J.-D.1    Stroock, D.W.2
  • 11
    • 0002523116 scopus 로고    scopus 로고
    • Hilbert spaces of holomorphic functions on complex lie groups
    • Charingworth, 1994, World Sci. Publishing, River Edge, NJ
    • DRIVER, B. K. & GROSS, L., Hilbert spaces of holomorphic functions on complex Lie groups, in New Trends in Stochastic Analysis (Charingworth, 1994), pp. 76-106. World Sci. Publishing, River Edge, NJ, 1997.
    • (1997) New Trends in Stochastic Analysis , pp. 76-106
    • Driver, B.K.1    Gross, L.2
  • 12
    • 0003130274 scopus 로고    scopus 로고
    • On heat kernel logarithmic Sobolev inequalities
    • Powys, 1995, World Sci. Publishing, River Edge, NJ
    • DRIVER, B. K. & HU, Y., On heat kernel logarithmic Sobolev inequalities, in Stochastic Analysis and Applications (Powys, 1995), pp. 189-200. World Sci. Publishing, River Edge, NJ, 1996.
    • (1996) Stochastic Analysis and Applications , pp. 189-200
    • Driver, B.K.1    Hu, Y.2
  • 13
    • 0002285687 scopus 로고
    • On the Kakutani-Itô Segal-Gross and the Segal-Bargmann-Hall isomorphisms
    • DRIVER, B. K., On the Kakutani-Itô Segal-Gross and the Segal-Bargmann-Hall isomorphisms. J. Funct. Anal., 133 (1995), 69 128.
    • (1995) J. Funct. Anal. , vol.133 , pp. 69-128
    • Driver, B.K.1
  • 14
    • 38249025633 scopus 로고
    • The hypercontractive approach to exactly bounding an operator with complex Gaussian kernel
    • EPPERSON, J., 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.1
  • 15
    • 0003215382 scopus 로고
    • Dirichlet forms and markov processes
    • North-Holland, New York
    • FUKUSHIMA, M., Dirichlet Forms and Markov Processes. North-Holland Math. Library, 23. North-Holland, New York, 1980.
    • (1980) North-Holland Math. Library , vol.23
    • Fukushima, M.1
  • 16
    • 0001429116 scopus 로고
    • Logarithmic Sobolev inequalities
    • GROSS, L., Logarithmic Sobolev inequalities. Amer. J. Math., 97 (1975), 1061 1083.
    • (1975) Amer. J. Math. , vol.97 , pp. 1061-1083
    • Gross, L.1
  • 17
    • 0001572330 scopus 로고
    • Uniqueness of ground states for schrödinger operators over loop groups
    • - 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
  • 18
    • 0010989169 scopus 로고
    • The homogeneous chaos over compact lie groups
    • S. Cambanis et al., eds. SpringerVerlag, New York
    • - The homogeneous chaos over compact Lie groups, in Stochastic Processes, Festschrift in Honor of Gopinath Kallianpur (S. Cambanis et al., eds.), pp. 117-123. SpringerVerlag, New York, 1993.
    • (1993) Stochastic Processes, Festschrift in Honor of Gopinath Kallianpur , pp. 117-123
  • 19
    • 0040438371 scopus 로고
    • Harmonic analysis for the heat kernel measure on compact homogeneous spaces
    • Baton Rouge, LA
    • - Harmonic analysis for the heat kernel measure on compact homogeneous spaces, in Stochastic Analysis on Infinite-Dimensional Spaces (Baton Rouge, LA, 1994), pp. 99 110. Pitman Res. Notes Math. Ser., 310. Longman Sci. Tech., Harlow, 1994.
    • (1994) Stochastic Analysis on Infinite-Dimensional Spaces , pp. 99-110
  • 20
    • 0039714099 scopus 로고
    • Longman Sci. Tech., Harlow
    • - Harmonic analysis for the heat kernel measure on compact homogeneous spaces, in Stochastic Analysis on Infinite-Dimensional Spaces (Baton Rouge, LA, 1994), pp. 99 110. Pitman Res. Notes Math. Ser., 310. Longman Sci. Tech., Harlow, 1994.
    • (1994) Pitman Res. Notes Math. Ser. , vol.310
  • 21
    • 0002236459 scopus 로고
    • Logarithmic Sobolev inequalities and contractivity properties of semigroups
    • Varenna
    • - Logarithmic Sobolev inequalities and contractivity properties of semigroups, in Dirichlet Forms (Varenna 1992), pp. 54 88. Lecture Notes in Math., 1563. Springer-Verlag, Berlin, 1993.
    • (1992) Dirichlet Forms , pp. 54-88
  • 22
    • 0004034109 scopus 로고
    • Springer-Verlag, Berlin
    • - Logarithmic Sobolev inequalities and contractivity properties of semigroups, in Dirichlet Forms (Varenna 1992), pp. 54 88. Lecture Notes in Math., 1563. Springer-Verlag, Berlin, 1993.
    • (1993) Lecture Notes in Math. , vol.1563
  • 23
    • 0039122032 scopus 로고
    • The mathematical ramifications of Wiener's program in statistical physics
    • East Lancing, MI
    • - The mathematical ramifications of Wiener's program in statistical physics, in Proceedings of the Norbert Wiener Centenary Congress (East Lancing, MI, 1994), pp. 53-61. Proc. Sympos. Appl. Math., 52. Amer. Math. Soc., Providence, RI, 1997.
    • (1994) Proceedings of the Norbert Wiener Centenary Congress , pp. 53-61
  • 24
    • 0040306053 scopus 로고    scopus 로고
    • Amer. Math. Soc., Providence, RI
    • - The mathematical ramifications of Wiener's program in statistical physics, in Proceedings of the Norbert Wiener Centenary Congress (East Lancing, MI, 1994), pp. 53-61. Proc. Sympos. Appl. Math., 52. Amer. Math. Soc., Providence, RI, 1997.
    • (1997) Proc. Sympos. Appl. Math. , vol.52
  • 27
    • 0001969644 scopus 로고
    • Boson fields with nonlinear self-interaction in two dimensions
    • GLIMM, J., Boson fields with nonlinear self-interaction in two dimensions. Comm. Math. Phys., 8 (1968), 12-25.
    • (1968) Comm. Math. Phys. , vol.8 , pp. 12-25
    • Glimm, J.1
  • 29
    • 0032267704 scopus 로고    scopus 로고
    • Herbst inequalities for supercontractive semigroups
    • GROSS, L. & ROTHAUS, O., Herbst inequalities for supercontractive semigroups. J. Math. Kyoto Univ., 38 (1998), 295-318.
    • (1998) J. Math. Kyoto Univ. , vol.38 , pp. 295-318
    • Gross, L.1    Rothaus, O.2
  • 30
    • 0000374308 scopus 로고
    • The segal-bargmann "coherent state" transform for compact lie groups
    • HALL, B., The Segal-Bargmann "coherent state" transform for compact Lie groups. J. Funct. Anal., 122 (1994), 103 151.
    • (1994) J. Funct. Anal. , vol.122 , pp. 103-151
    • Hall, B.1
  • 31
    • 0030672169 scopus 로고    scopus 로고
    • The inverse Segal-Bargmann transform for compact lie groups
    • The inverse Segal-Bargmann transform for compact Lie groups. J. Funct. Anal., 143 (1997), 98-116.
    • (1997) J. Funct. Anal. , vol.143 , pp. 98-116
  • 32
    • 0039714094 scopus 로고    scopus 로고
    • Quantum mechanics in phase space
    • South Hadley, MA
    • - Quantum mechanics in phase space, in Perspectives on Quantization (South Hadley, MA, 1996), pp. 47 62. Contemp. Math., 214. Amer. Math. Soc., Providence, RI, 1998.
    • (1996) Perspectives on Quantization , pp. 4762
  • 33
    • 0004265556 scopus 로고    scopus 로고
    • Amer. Math. Soc., Providence, RI
    • - Quantum mechanics in phase space, in Perspectives on Quantization (South Hadley, MA, 1996), pp. 47 62. Contemp. Math., 214. Amer. Math. Soc., Providence, RI, 1998.
    • (1998) Contemp. Math. , vol.214
  • 34
    • 0000987255 scopus 로고
    • Hermite functions on compact lie groups, I
    • HIJAB, O., Hermite functions on compact Lie groups, I. J. Funct. Anal., 125 (1994), 480 492.
    • (1994) J. Funct. Anal. , vol.125 , pp. 480-492
    • Hijab, O.1
  • 35
    • 0002270585 scopus 로고
    • Hermite functions on compact lie groups, II
    • - Hermite functions on compact Lie groups, II. J. Funct. Anal., 133 (1995), 41 49.
    • (1995) J. Funct. Anal. , vol.133 , pp. 41-49
  • 36
    • 0031191531 scopus 로고    scopus 로고
    • Spectral properties of Laplacians on an abstract wiener space with a weighted wiener measure
    • HINO, M., Spectral properties of Laplacians on an abstract Wiener space with a weighted Wiener measure. J. Funct. Anal., 147 (1997), 485-520.
    • (1997) J. Funct. Anal. , vol.147 , pp. 485-520
    • Hino, M.1
  • 37
    • 0001359676 scopus 로고
    • Logarithmic sobolev inequalities and stochastic Ising models
    • HOLLEY, R. & STROOCK, D.W., Logarithmic Sobolev inequalities and stochastic Ising models. J. Statist. Phys., 46 (1987), 1159 1194.
    • (1987) J. Statist. Phys. , vol.46 , pp. 1159-1194
    • Holley, R.1    Stroock, D.W.2
  • 38
    • 0002442977 scopus 로고
    • On hypercontractivity for multipliers on orthogonal polynomials
    • JANSON, S., On hypercontractivity for multipliers on orthogonal polynomials. Ark. Mat., 21 (1983), 97 110.
    • (1983) Ark. Mat. , vol.21 , pp. 97-110
    • Janson, S.1
  • 39
    • 0031521493 scopus 로고    scopus 로고
    • On complex hypercontractivity
    • - On complex hypercontractivity. J. Funct. Anal., 151 (1997), 270-280.
    • (1997) J. Funct. Anal. , vol.151 , pp. 270-280
  • 44
    • 0000201926 scopus 로고
    • Gaussian kernels have only Gaussian maximizers
    • LIEB, E., Gaussian kernels have only Gaussian maximizers. Invent. Math., 102 (1990). 179-208.
    • (1990) Invent. Math. , vol.102 , pp. 179-208
    • Lieb, E.1
  • 46
    • 0001838060 scopus 로고
    • A quartic interaction in two dimensions
    • Dedham, MA. M.I.T. Press, Cambridge. MA
    • NELSON, E., A quartic interaction in two dimensions, in Mathematical Theory of Elementary Particles (Dedham, MA. 1965), pp. 69-73. M.I.T. Press, Cambridge. MA, 1966.
    • (1965) Mathematical Theory of Elementary Particles , pp. 69-73
    • Nelson, E.1
  • 47
    • 49549166117 scopus 로고
    • The free Markov field
    • The free Markov field. J. Funct. Anal., 12 (1973), 211-227.
    • (1973) J. Funct. Anal. , vol.12 , pp. 211-227
  • 48
    • 0001884902 scopus 로고
    • Generalizations of the Bargmann transform
    • Clausthal, World Sci. Publishing. River Edge, NJ
    • ÓLAFSSON, G. & ØRSTED, B., Generalizations of the Bargmann transform, in Lie Theory and Its Applications in Physics (Clausthal, 1995). pp. 3-14. World Sci. Publishing. River Edge, NJ, 1996.
    • (1995) Lie Theory and its Applications in Physics , pp. 3-14
    • Ólafsson, G.1    ØRsted, B.2
  • 50
    • 0004057553 scopus 로고
    • McGraw-Hill, New York-Düsseldorf-Johannesburg
    • RUDIN, W., Functional Analysis. McGraw-Hill, New York-Düsseldorf-Johannesburg, 1973.
    • (1973) Functional Analysis
    • Rudin, W.1
  • 51
    • 0001653960 scopus 로고
    • Construction of non-linear local quantum processes, I
    • SEGAL, I. E., Construction of non-linear local quantum processes, I. Ann. of Math., 92 (1970), 462 481.
    • (1970) Ann. of Math. , vol.92 , pp. 462-481
    • Segal, I.E.1
  • 54
    • 0001624277 scopus 로고
    • Two-point inequalities, the Hermite semigroup, and the Gauss-Weier-strass semigroup
    • WEISSLER, F., Two-point inequalities, the Hermite semigroup, and the Gauss-Weier-strass semigroup. J. Funct. Anal., 32 (1979), 102-121.
    • (1979) J. Funct. Anal. , vol.32 , pp. 102-121
    • Weissler, F.1
  • 55
    • 0001160562 scopus 로고
    • p space of entire functions
    • p space of entire functions. J. Funct. Anal., 96 (1991), 407 425.
    • (1991) J. Funct. Anal. , vol.96 , pp. 407-425
    • Zhou, Z.1


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