Les «fonctions caractéristiques» des distributions sur l'espace de Wiener

Paul-André Meyer; Jia-An Yan

Séminaire de probabilités de Strasbourg (1991)

  • Volume: 25, page 61-78

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Meyer, Paul-André, and Yan, Jia-An. "Les «fonctions caractéristiques» des distributions sur l'espace de Wiener." Séminaire de probabilités de Strasbourg 25 (1991): 61-78. <http://eudml.org/doc/113783>.

@article{Meyer1991,
author = {Meyer, Paul-André, Yan, Jia-An},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {expository paper; characteristic functions; Wiener space; Fock space; Wick product; Stratonovich multiple integrals},
language = {fre},
pages = {61-78},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Les «fonctions caractéristiques» des distributions sur l'espace de Wiener},
url = {http://eudml.org/doc/113783},
volume = {25},
year = {1991},
}

TY - JOUR
AU - Meyer, Paul-André
AU - Yan, Jia-An
TI - Les «fonctions caractéristiques» des distributions sur l'espace de Wiener
JO - Séminaire de probabilités de Strasbourg
PY - 1991
PB - Springer - Lecture Notes in Mathematics
VL - 25
SP - 61
EP - 78
LA - fre
KW - expository paper; characteristic functions; Wiener space; Fock space; Wick product; Stratonovich multiple integrals
UR - http://eudml.org/doc/113783
ER -

References

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  1. Hu ( Y.Z. ) et Meyer ( P.A.) [1]. Chaos de Wiener et intégrales de Feynman; Sur les intégrales multiples de Stratonovitch, Sém. Prob. XXII, Lect. Notes in M.1321, 1988, p. 51-71. Zbl0644.60081MR960508
  2. Kondratiev ( Yu.V.) et Samoilenko ( Yu.S.) [1]. Integral representation of generalized positive definite kernels of an infinite number of variables. Soviet Math. Dokl., 17 (227), 1976, p. ?. Zbl0366.46037MR500155
  3. Kondratiev Yu.V.) et Samoilenko Yu.S.) [2]. The spaces of trial and generalized functions of an infinite number of variables. Reports Math. Phys., 14, 1978, p. 325-350. Zbl0421.46035MR530468
  4. Kondratiev ( Yu.V.) et Samoilenko ( Yu.S.) [3]. Nuclear spaces of entire functions in problems of infinite dimensional analysis. Soviet Math. Dokl., 22 (254), 1980, p. 588-592. Zbl0474.46033MR592501
  5. Korezlioglu ( H.) et Ustunel ( A.S.) [1]. A new class of distributions on Wiener spaces. Stochastic Analysis and Related Topics II, Silivri1988, LN1444, p. 106-121, Springer1990. Zbl0759.60061MR1078844
  6. Krée ( P.) [1]. Séminaire sur les équations aux dérivées partielles en dimension infinie, exposés 3-4, 1976-77. Institut Henri-Poincaré, Paris, 1978. 
  7. Krée ( P.) [2]. La théorie des distributions en dimension quelconque et l'intégration stochastique. Proc. of the 1986 Silivri Conference, H. Korezlioglu et S. Ustunel, ed. Lect. Notes in M.1316, Springer1988. Zbl0648.60063MR953796
  8. Kubo ( I.) et Yokoi ( Y.) [1]. A remark on the space of testing random variables in the white noise calculus, Nagoya Math. J., 115, 1989, p. 139-149. Zbl0672.60080MR1018088
  9. Kuo ( H.H.), Potthoff ( J.) et Streit ( L. [1]. A characterization of white noise test functionals. Prépublication, BiBoSBielefeld, 1990. MR1160380
  10. Lee ( Y.J.) [1]. Generalized functions on infinite dimensional spaces and its application to white noise calculus, J. Funct. Anal., 82, 1989, p. 429-464. Zbl0683.46035MR987302
  11. Lee ( Y.J.) [2]. Analytic version of test functionals, Fourier transforms, and a characterization of measures in white noise calculus. Prépublication, 1990. MR1125230
  12. Lindstrøm ( T.), Øksendal ( B.) et Ubøe ( J.) [1]. Dynamical systems in random media : a white noise functional approach. Prépublication, Université d'Oslo, 1990. 
  13. Meyer ( P.A.) et Yan ( J.A.) [1]. Distributions sur l'espace de Wiener (suite) d'après Kubo et Yokoi. Sém. Prob. XXIII, Lect. Notes in M.1372, 1989, p. 382-392. Zbl0743.60039MR1022925
  14. Potthoff ( J.) et Streit ( L.) [1]. A characterization of Hida distributions. Prépublication n° 406, BiBoSBielefeld, 1989. 
  15. Potthoff ( J.) et Yan ( J.A. [1]. Some results about test and generalized functionals of white noise. Proc. Singapore Prob. Conference, L.H.Y. Chen ed., 1989. Zbl0765.60030
  16. Yan ( J.A.) [1]. Products and transforms of white noise functionals. A paraître. Zbl0821.60071
  17. Yan ( J.A.) [2]. Notes on the Wiener semigroup and renormalization. Ce volume. Zbl0744.60061
  18. Yokoi ( I.) [1]. Positive generalized white noise functionals, Hiroshima Math. J., 20, 1990, p. 137-157. Zbl0714.60052MR1050432

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