Chaos de Wiener et intégrale de Feynman

Y. Z. Hu; Paul-André Meyer

Séminaire de probabilités de Strasbourg (1988)

  • Volume: 22, page 51-71

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Hu, Y. Z., and Meyer, Paul-André. "Chaos de Wiener et intégrale de Feynman." Séminaire de probabilités de Strasbourg 22 (1988): 51-71. <http://eudml.org/doc/113653>.

@article{Hu1988,
author = {Hu, Y. Z., Meyer, Paul-André},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {multiple Wiener integrals; Feynman integrals; Wiener measure; Wiener chaos expansion},
language = {fre},
pages = {51-71},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Chaos de Wiener et intégrale de Feynman},
url = {http://eudml.org/doc/113653},
volume = {22},
year = {1988},
}

TY - JOUR
AU - Hu, Y. Z.
AU - Meyer, Paul-André
TI - Chaos de Wiener et intégrale de Feynman
JO - Séminaire de probabilités de Strasbourg
PY - 1988
PB - Springer - Lecture Notes in Mathematics
VL - 22
SP - 51
EP - 71
LA - fre
KW - multiple Wiener integrals; Feynman integrals; Wiener measure; Wiener chaos expansion
UR - http://eudml.org/doc/113653
ER -

References

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  3. [3] Cameron ( R.H.) et Storvick ( D.A.).Some Banach algebras of analytic F. integrable functionals. Analytic Functions, LN798, 1980, 18-67. Zbl0439.28007MR577446
  4. [4] Combe ( P.), Hoegh-Krohn ( R.), Rodriguez ( R.), Sirugue ( M.), Sirugue-Collin ( M.). Poisson processes on groups and F. path integrals. Comm. Math. Phys.77. 1980, 269-288 et J. Math. Phys.23, 1982, 405-411. Zbl0526.22003MR594304
  5. [5] Elworthy ( D.) et Truman ( A.). Feynman maps, Cameron Martin formulas and anharmonic oscillators. Ann IHP41, 1984, 115-142. Zbl0578.28013MR769152
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  7. [7] Isobe ( E.) et Sato ( S.). Wiener-Hermite expansion of a process generated by an Ito stochastic differential equation. J. Appl. Prob.20, 1983, 754-765. Zbl0528.60055MR720467
  8. [8] Ito ( K.). Wiener integral and F. integral. Proc. 4th Berkeley Symp., vol. 2, 1961, 227-238. Cf. aussi Generalized uniform complex measures in the hilbertian metric space with application to the F. integral, Proc. 5th Berkeley Symp., II-1, 1967, 145-161. Zbl0135.18803MR216528
  9. [9] Johnson ( G.W.) et Lapidus ( M.L.). Generalized Dyson series, F. diagrams F. integral and F's operational calculus. Memoirs AMS351, 1986. Zbl0603.28014MR849943
  10. [10] Johnson ( G.W.) et Skoug ( D.L.). Scale invariant measurability in Wiener space. Pacific J.M.83, 1979, 157-176. Zbl0387.60070MR555044
  11. [11] ----- Notes on the Feynman integral. Pacific J.M.93, 1981, 313-324. JFA41, 1981, 277-289. Zbl0459.28011MR623567
  12. [12] Kallianpur ( G.) et Bromley ( C.). Generalized F. integration using analytic continuation in several complex variables. Stochastic analysis and applications, 217-267. Marcel Dekker1984. Zbl0554.60061MR776983
  13. [13] Maslov ( V.P.) et Tchebotarev ( A.M.). The definition of F. integrals in the p-representation. Soviet Math. Doklady17, 1976, 75-76. Aussi : Processus de sauts et leurs applications dans la mécanique quantique. Intégrales de Feynman , Marseille 1978, 58-72. Lect. Notes in Phys.106. Zbl0443.28010MR553076
  14. [14] Meyer ( P.A.) et Yan ( J.A.). A propos des distributions sur l'espace de Wiener. Séminaire de Probabilités XX, 1987, 8-26. LN in M.. 1247. Zbl0632.60035MR941973
  15. [15] Streit ( L.) et Hida ( T.). Generalized brownian functionals and the F. integral. Stoch. Proc. Appl.16, 1983, 55-69. Zbl0575.60039MR723643
  16. [16] Zakai ( M.). Malliavin derivatives and derivatives of functionals of a Wiener process with respect to a scale parameter. Ann. Prob.13, 1985, 609-615. Zbl0562.60067MR781427

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