메뉴 건너뛰기




Volumn 138, Issue 2, 1996, Pages 311-350

Non-Gaussian infinite dimensional analysis

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0030585648     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.0067     Document Type: Article
Times cited : (63)

References (33)
  • 1
    • 0002129136 scopus 로고    scopus 로고
    • Dirichlet forms and diffusion processes on rigged hilbert spaces
    • [AlHK] S. ALBEVERIO AND R. HØEGH-KROHN, Dirichlet forms and diffusion processes on rigged Hilbert spaces, Z. Wahrsch. verw. Gebiete 40 (1997), 1-57.
    • (1997) Z. Wahrsch. Verw. Gebiete , vol.40 , pp. 1-57
    • Albeverio, S.1    HØegh-Krohn, R.2
  • 2
    • 0011524150 scopus 로고
    • How to generalize white noise analysis to non-Gaussian measures
    • "Dynamics of Complex and Irregular Systems," 1992 Ph. Blanchard, L. Streit, M. Sirugue-Collin, D. Testard, Eds., World Scientific, Singapore
    • [AlKoSt] S. ALBEVERIO, YU. G. KONDRATIEV, AND L. STREIT, How to generalize white noise analysis to non-Gaussian measures, pp. 120-130 in "Dynamics of Complex and Irregular Systems," "Proc. Bielefeld Encounters in Mathematics and Physics IX, 1992" (Ph. Blanchard, L. Streit, M. Sirugue-Collin, D. Testard, Eds.), World Scientific, Singapore, 1993.
    • (1993) Proc. Bielefeld Encounters in Mathematics and Physics IX , pp. 120-130
    • Albeverio, S.1    Kondratiev, Yu.G.2    Streit, L.3
  • 4
    • 0001915987 scopus 로고
    • Maximality of infinite dimensional dirichlet forms and Høegh-Krohn model of quantum fields
    • memorial volume for R. Høegh-Krohn (S. Albeverio et al., Eds.), Cambridge Univ. Press, Cambridge
    • [AlKu] S. ALBEVERIO AND S. KUSUOKA, Maximality of infinite dimensional Dirichlet forms and Høegh-Krohn model of quantum fields, pp. 301-330 in "Ideas and Methods in Quantum and Statistical Physics," memorial volume for R. Høegh-Krohn (S. Albeverio et al., Eds.), Cambridge Univ. Press, Cambridge, 1992.
    • (1992) Ideas and Methods in Quantum and Statistical Physics , pp. 301-330
    • Albeverio, S.1    Kusuoka, S.2
  • 6
    • 0011557767 scopus 로고
    • Distributions and differential equations in linear spaces
    • [AvSmFo] V. I. AVERBUCH, O. G. SMOLYANOV, AND S. V. FOMIN, Distributions and differential equations in linear spaces, Proc. Moscow Math. Soc. 24, (1971), 133-174.
    • (1971) Proc. Moscow Math. Soc. , vol.24 , pp. 133-174
    • Averbuch, V.I.1    Smolyanov, O.G.2    Fomin, S.V.3
  • 8
    • 0011674097 scopus 로고
    • Generalized white noise analysis connected with perturbed field operators
    • [BeLy] YU. M. BEREZANSKY AND E. V. LYTVYNOV, Generalized white noise analysis connected with perturbed field operators, Dopovidy AN Ukrainy 10 (1993).
    • (1993) Dopovidy AN Ukrainy , vol.10
    • Berezansky, Yu.M.1    Lytvynov, E.V.2
  • 9
    • 84956257592 scopus 로고
    • Analytic properties of infinite dimensional distributions
    • [BoSm] V. I. BOGACHEV AND O. G. SMOLYANOV, Analytic properties of infinite dimensional distributions, Russian Math. Surveys 45 (1990), 3-83.
    • (1990) Russian Math. Surveys , vol.45 , pp. 3-83
    • Bogachev, V.I.1    Smolyanov, O.G.2
  • 10
    • 0011673479 scopus 로고
    • A biorthogonal analogy of the Hermite polynomials and the inversion of the Fourier transform with respect to a non-Gaussian measure
    • [Da] YU. L. DALETSKY, A biorthogonal analogy of the Hermite polynomials and the inversion of the Fourier transform with respect to a non-Gaussian measure, Funct. Anal. Appl. 25 (1991), 68-70.
    • (1991) Funct. Anal. Appl. , vol.25 , pp. 68-70
    • Daletsky, Yu.L.1
  • 12
    • 85029967231 scopus 로고
    • The smooth measures in Banach spaces and their smooth mappings
    • B. Grigelionis et al., Eds., Mokslas, Vilnus
    • [DaSt 1] YU. L. DALETSKY AND V. R. STEBLOVSKAYA, The smooth measures in Banach spaces and their smooth mappings, in "Probability Theory and Math. Statistics," Vol. 1, pp. 245-257 (B. Grigelionis et al., Eds.), Mokslas, Vilnus, 1990.
    • (1990) Probability Theory and Math. Statistics , vol.1 , pp. 245-257
    • Daletsky, Yu.L.1    Steblovskaya, V.R.2
  • 14
    • 0011662555 scopus 로고
    • Smooth measures on infinite dimensional manifolds
    • [DaMa] YU. L. DALETSKY AND B. D. MARJANIN, Smooth measures on infinite dimensional manifolds, Soviet Math. Dokl. 285 (1985), 1297-1300.
    • (1985) Soviet Math. Dokl. , vol.285 , pp. 1297-1300
    • Daletsky, Yu.L.1    Marjanin, B.D.2
  • 15
    • 0011674099 scopus 로고
    • Integration by parts with respect to measures on functional spaces and applications, I
    • [DaPa] YU. L. DALETSKY AND S. N. PARAMONOVA, Integration by parts with respect to measures on functional spaces and applications, I, Probab. Theory and Math. Statist. 17 (1977), 51-60.
    • (1977) Probab. Theory and Math. Statist. , vol.17 , pp. 51-60
    • Daletsky, Yu.L.1    Paramonova, S.N.2
  • 16
    • 0003196608 scopus 로고
    • Complex analysis in locally convex spaces
    • North-Holland, Amsterdam
    • [Di] S. DINEEN, "Complex Analysis in Locally Convex Spaces," Mathematical Studies, Vol. 57, North-Holland, Amsterdam, 1981.
    • (1981) Mathematical Studies , vol.57
    • Dineen, S.1
  • 17
    • 0001865584 scopus 로고
    • Multivariate Appel polynomials and the central limit theorem
    • E. Eberlein and M. Taqqu, Eds. Birkhäuser, Boston
    • [GiSu] L. GIRAITIS AND D. SURGAILIS, Multivariate Appel polynomials and the central limit theorem, in "Dependence in Probability and Statistics" (E. Eberlein and M. Taqqu, Eds.), pp. 21-71, Birkhäuser, Boston, 1986.
    • (1986) Dependence in Probability and Statistics , pp. 21-71
    • Giraitis, L.1    Surgailis, D.2
  • 18
    • 0004052864 scopus 로고
    • Springer-Verlag, Berlin/Heidelberg/New York
    • [Hi] T. HIDA, "Brownian Motion," Springer-Verlag, Berlin/Heidelberg/New York, 1980.
    • (1980) Brownian Motion
    • Hida, T.1
  • 20
    • 21844487972 scopus 로고
    • The pressure equation for fluid flow in a stochastic medium
    • [HoLiØkUbZh] H. HOLDEN, T. LINDSTRØM, B. ØKSENDAL, J. UBØE, AND T.-S. ZHANG, The pressure equation for fluid flow in a stochastic medium, Pot. Anal. 4 (1995), 655-674.
    • (1995) Pot. Anal. , vol.4 , pp. 655-674
    • Holden, H.1    LindstrØm, T.2    UbØe, J.3    Zhang, T.-S.4
  • 22
    • 0001561067 scopus 로고
    • Nuclear spaces of entire functions in problems of infinite dimensional analysis
    • [Ko 2] YU. G. KONDRATIEV, Nuclear spaces of entire functions in problems of infinite dimensional analysis, Soviet Math. Dokl. 22 (1980), 588-592.
    • (1980) Soviet Math. Dokl. , vol.22 , pp. 588-592
    • Kondratiev, Yu.G.1
  • 23
    • 0002632199 scopus 로고
    • Spaces of entire functions of an infinte number of variables, connected with the riggings of a fock space
    • Inst. Math., Kiev, [in Russian]
    • [Ko 3] YU. G. KONDRATIEV, Spaces of entire functions of an infinte number of variables, connected with the riggings of a Fock space, in "Spectral Analysis of Differential Operators," pp. 18-37, Inst. Math., Kiev, 1980 [in Russian]; Selecta Math. Sov. 10 (1990) 165-180 [Engl. transl.].
    • (1980) Spectral Analysis of Differential Operators , pp. 18-37
    • Kondratiev, Yu.G.1
  • 24
    • 0011685718 scopus 로고
    • Engl. transl.
    • [Ko 3] YU. G. KONDRATIEV, Spaces of entire functions of an infinte number of variables, connected with the riggings of a Fock space, in "Spectral Analysis of Differential Operators," pp. 18-37, Inst. Math., Kiev, 1980 [in Russian]; Selecta Math. Sov. 10 (1990) 165-180 [Engl. transl.].
    • (1990) Selecta Math. Sov. , vol.10 , pp. 165-180
  • 25
    • 0001401847 scopus 로고
    • Integral representations of generalized positive definite kernels of infinite number of variables
    • [KoSa 1] YU. G. KONDRATIEV AND YU. S. SAMOILENKO, Integral representations of generalized positive definite kernels of infinite number of variables, Soviet Math. Dokl. 17, (1976), 517-521.
    • (1976) Soviet Math. Dokl. , vol.17 , pp. 517-521
    • Kondratiev, Yu.G.1    Samoilenko, Yu.S.2
  • 26
    • 0000592502 scopus 로고
    • Spaces of trial and generalized functions of infinitely many variables
    • [KoSa 2] YU. G. KONDRATIEV AND YU. S. SAMOILENKO, Spaces of trial and generalized functions of infinitely many variables, Rep. Math. Phys. 14 (1978), 325-350.
    • (1978) Rep. Math. Phys. , vol.14 , pp. 325-350
    • Kondratiev, Yu.G.1    Samoilenko, Yu.S.2
  • 27
    • 43949163899 scopus 로고
    • Spaces of white noise distributions: Constructions, descriptions, applications, I
    • [KoSt] YU. G. KONDRATIEV AND L. STREIT, Spaces of White Noise distributions: constructions, descriptions, applications, I, Rep. Math. Phys. 33 (1993), 341-366.
    • (1993) Rep. Math. Phys. , vol.33 , pp. 341-366
    • Kondratiev, Yu.G.1    Streit, L.2
  • 28
    • 0000469941 scopus 로고
    • The nonlinear transformation of Gaussian measures on Banach space and its absolute continuity
    • [Kus] S. KUSUOKA, The nonlinear transformation of Gaussian measures on Banach space and its absolute continuity, J. Fac. Sci. Univ. Tokyo, Sect. 1A 29 (1982), 567-598.
    • (1982) J. Fac. Sci. Univ. Tokyo, Sect. 1a , vol.29 , pp. 567-598
    • Kusuoka, S.1
  • 30
    • 0000628868 scopus 로고
    • A characterization of Hida distributions
    • [PoSt] J. POTTHOFF AND L. STREIT, A characterization of Hida distributions, J. Funct. Anal. 101 (1991), 212-229.
    • (1991) J. Funct. Anal. , vol.101 , pp. 212-229
    • Potthoff, J.1    Streit, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.