메뉴 건너뛰기




Volumn 4, Issue 3, 2001, Pages 409-415

Analytic characterization of one-mode interacting fock space

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035627909     PISSN: 02190257     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021902570100053X     Document Type: Article
Times cited : (11)

References (29)
  • 3
    • 0010506238 scopus 로고    scopus 로고
    • The Wigner semi-circle law in quantum electro dynamics
    • L. Accardi and Y.-G. Lu, The Wigner semi-circle law in quantum electro dynamics, Comm. Math. Phys. 180 (1996) 603-632; Volterra preprint 126 (1992).
    • (1996) Comm. Math. Phys. , vol.180 , pp. 603-632
    • Accardi, L.1    Lu, Y.-G.2
  • 4
    • 0010506238 scopus 로고    scopus 로고
    • Volterra preprint
    • L. Accardi and Y.-G. Lu, The Wigner semi-circle law in quantum electro dynamics, Comm. Math. Phys. 180 (1996) 603-632; Volterra preprint 126 (1992).
    • (1992) , vol.126
  • 6
    • 0346976637 scopus 로고    scopus 로고
    • Characterization of test functions in CKS-space
    • eds. S. Albeverio et al. World Scientific
    • N. Asai, I. Kubo and H.-H. Kuo, Characterization of test functions in CKS-space, in Mathematical Physics and Stochastic Analysis, eds. S. Albeverio et al. (World Scientific, 2000), pp. 68-78.
    • (2000) Mathematical Physics and Stochastic Analysis , pp. 68-78
    • Asai, N.1    Kubo, I.2    Kuo, H.-H.3
  • 7
    • 0013503434 scopus 로고    scopus 로고
    • CKS-space in terms of growth functions
    • eds. T. Hida and K. Saitô World Scientific
    • N. Asai, I. Kubo and H.-H. Kuo, CKS-space in terms of growth functions, in Quantum Information II, eds. T. Hida and K. Saitô (World Scientific, 2000), pp. 17-27.
    • (2000) Quantum Information II , pp. 17-27
    • Asai, N.1    Kubo, I.2    Kuo, H.-H.3
  • 8
    • 0035607322 scopus 로고    scopus 로고
    • Roles of log-concavity, log-convexity, and growth order in white noise analysis
    • N. Asai, I. Kubo and H.-H. Kuo, Roles of log-concavity, log-convexity, and growth order in white noise analysis, Infinite Dim. Anal. Quantum Probab. Related Topics 4 (2001) 59-84. Universidade da Madeira CCM Preprint 37 (1999)
    • (2001) Infinite Dim. Anal. Quantum Probab. Related Topics , vol.4 , pp. 59-84
    • Asai, N.1    Kubo, I.2    Kuo, H.-H.3
  • 9
    • 0035607322 scopus 로고    scopus 로고
    • Universidade da Madeira CCM Preprint
    • N. Asai, I. Kubo and H.-H. Kuo, Roles of log-concavity, log-convexity, and growth order in white noise analysis, Infinite Dim. Anal. Quantum Probab. Related Topics 4 (2001) 59-84. Universidade da Madeira CCM Preprint 37 (1999)
    • (1999) , vol.37
  • 10
    • 0002044947 scopus 로고    scopus 로고
    • General characterization theorems and intrinsic topologies in white noise analysis
    • N. Asai, I. Kubo and H.-H. Kuo, General characterization theorems and intrinsic topologies in white noise analysis, to appear in Hiroshima Math. J. 31 (2001); Louisiana State Univeristy preprint (1999).
    • (2001) Hiroshima Math. J. , vol.31
    • Asai, N.1    Kubo, I.2    Kuo, H.-H.3
  • 11
    • 0347607517 scopus 로고    scopus 로고
    • Louisiana State Univeristy preprint
    • N. Asai, I. Kubo and H.-H. Kuo, General characterization theorems and intrinsic topologies in white noise analysis, to appear in Hiroshima Math. J. 31 (2001); Louisiana State Univeristy preprint (1999).
    • (1999)
  • 13
    • 84980077803 scopus 로고
    • On a Hilbert space of analytic functions and an associated integral transform, I
    • V. Bargmann, On a Hilbert space of analytic functions and an associated integral transform, I, Comm. Pure Appl. Math. 14 (1961) 187-214.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 187-214
    • Bargmann, V.1
  • 14
    • 0031568602 scopus 로고    scopus 로고
    • Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems
    • P. Biane, Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems, J. Funct. Anal. 44 (1997) 232-286.
    • (1997) J. Funct. Anal. , vol.44 , pp. 232-286
    • Biane, P.1
  • 17
    • 85009761277 scopus 로고    scopus 로고
    • Harmonic analysis with respect to heat kernel measure
    • B. Hall, Harmonic analysis with respect to heat kernel measure, Bull. Amer. Math. Soc. 38 (2001) 43-78.
    • (2001) Bull. Amer. Math. Soc. , vol.38 , pp. 43-78
    • Hall, B.1
  • 19
    • 0013468468 scopus 로고
    • Finite dimensional Hida distributions
    • I. Kubo and H.-H. Kuo, Finite dimensional Hida distributions, J. Funct. Anal. 128 (1995) 1-47.
    • (1995) J. Funct. Anal. , vol.128 , pp. 1-47
    • Kubo, I.1    Kuo, H.-H.2
  • 20
    • 0001264451 scopus 로고
    • Calculus on Gaussian white noise I
    • I. Kubo and S. Takenaka, Calculus on Gaussian white noise I, Proc. Japan Acad. A56 (1980) 376-380.
    • (1980) Proc. Japan Acad. , vol.A56 , pp. 376-380
    • Kubo, I.1    Takenaka, S.2
  • 21
    • 0001264449 scopus 로고
    • Calculus on Gaussian white noise II
    • I. Kubo and S. Takenaka, Calculus on Gaussian white noise II, Proc. Japan Acad. A56 (1980) 411-416.
    • (1980) Proc. Japan Acad. , vol.A56 , pp. 411-416
    • Kubo, I.1    Takenaka, S.2
  • 23
    • 50749134564 scopus 로고
    • Analytic version of test functional, Fourier transform and a characterization of measures in white noise calculus
    • Y.-J. Lee, Analytic version of test functional, Fourier transform and a characterization of measures in white noise calculus, J. Funct. Anal. 100 (1991) 359-380.
    • (1991) J. Funct. Anal. , vol.100 , pp. 359-380
    • Lee, Y.-J.1
  • 24
    • 0031089371 scopus 로고    scopus 로고
    • On the interacting free Fock space and the deformed Wigner law
    • Y.-G. Lu, On the interacting free Fock space and the deformed Wigner law, Nagoya Math. J. 145 (1997) 1-28.
    • (1997) Nagoya Math. J. , vol.145 , pp. 1-28
    • Lu, Y.-G.1
  • 25
    • 84972505242 scopus 로고
    • Mathematical characterization of the physical vacuum for a linear Bose-Einstein field
    • I. E. Segal, Mathematical characterization of the physical vacuum for a linear Bose-Einstein field, Illinois J. Math. 6 (1962) 500-523.
    • (1962) Illinois J. Math. , vol.6 , pp. 500-523
    • Segal, I.E.1
  • 26
    • 0000663904 scopus 로고
    • The complex wave representation of the free Boson field
    • Essays Dedicated to M. G. Krein on the Occassion of His 70th Birthday, eds. I. Goldberg and M. Kac Academic
    • I. E. Segal, The complex wave representation of the free Boson field, in Essays Dedicated to M. G. Krein on the Occassion of His 70th Birthday, Advances in Math.: Supplementary Studies, Vol. 3, eds. I. Goldberg and M. Kac (Academic, 1978), pp. 321-344.
    • (1978) Advances in Math.: Supplementary Studies , vol.3 , pp. 321-344
    • Segal, I.E.1
  • 27
    • 0003217929 scopus 로고
    • Orthogonal Polynomials
    • Amer. Math. Soc.
    • M. Szegö, Orthogonal Polynomials, Coll. Publ., Vol. 23 (Amer. Math. Soc., 1975).
    • (1975) Coll. Publ. , vol.23
    • Szegö, M.1
  • 28
    • 21844482927 scopus 로고
    • A q deformation of the Gauss distribution
    • H. van Leeuwen and H. Maassen, A q deformation of the Gauss distribution, J. Math. Phys. 36 (1995) 4743-4756.
    • (1995) J. Math. Phys. , vol.36 , pp. 4743-4756
    • Van Leeuwen, H.1    Maassen, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.