Fonctionnelles browniennes généralisées intégrale de Feynman

A. Clavilier

Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications (1987)

  • Volume: 90, Issue: 6, page 105-132
  • ISSN: 0246-1501

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Clavilier, A.. "Fonctionnelles browniennes généralisées intégrale de Feynman." Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications 90.6 (1987): 105-132. <http://eudml.org/doc/80638>.

@article{Clavilier1987,
author = {Clavilier, A.},
journal = {Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications},
keywords = {renormalization; white noise; Feynman path-integrals},
language = {fre},
number = {6},
pages = {105-132},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Fonctionnelles browniennes généralisées intégrale de Feynman},
url = {http://eudml.org/doc/80638},
volume = {90},
year = {1987},
}

TY - JOUR
AU - Clavilier, A.
TI - Fonctionnelles browniennes généralisées intégrale de Feynman
JO - Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
PY - 1987
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 90
IS - 6
SP - 105
EP - 132
LA - fre
KW - renormalization; white noise; Feynman path-integrals
UR - http://eudml.org/doc/80638
ER -

References

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  6. [6] I. Kubo, S. Takenaka: Calculus on Gaussian White Noise, I, II, III, IV, Proc. Japan Acad.56A (1980), 376-380, 411-416 and ibid57A (1981), 433-437, ibid58A (1992), 186-189 Zbl0459.60068MR596008
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  11. [11] H.H. Kuo: Brownian Functionals and applications, Acta Applicandae MathematicaeI, (1983), 175-188 Zbl0527.60036MR713477
  12. [12] H.H. Kuo: Donsker's delta function as a generalized Brownian functional and its applications. Proc. Int. at Bangalore (1982), 167-178. Lect. Notes Control. Inf.49, Springer1983 Zbl0522.60071MR799941
  13. [13] S. Takenaka: Invitation to white noise calculus, Proc. Int. at Bangalore (1982), 249-257. Lect. Notes Control Inf.49, Springer1983 Zbl0507.60056MR799948
  14. [14] R.L. Dobrushin, R.A. Minlos: Polynomials in linear random functions, Russian Math. Surveys32 (1977), 67-122 Zbl0364.60055MR517613
  15. [15] K. Ito: Multiple Wiener Integral, J. Math. Soc. Japan3 (1951), 157-169 Zbl0044.12202MR44064
  16. [16] S. Watanabe: Malliavin's calculus in termsof generalized Wiener functionals. Theory and Application of Random Fields, Bangalore (1982), 284-290. Lect. Notes Control. Inf.49, Springer1983 Zbl0512.60024MR799952
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  18. [18] B. Simon: A remark on Nelson's best hypercontractive estimates. Proc. Amer. Math. Soc.55, n° 2 (1976), 376-378 Zbl0441.46026MR400995

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