@article{SPS_1988__22__51_0, author = {Hu, Y. Z. and Meyer, Paul-Andr\'e}, title = {Chaos de Wiener et int\'egrale de Feynman}, journal = {S\'eminaire de probabilit\'es de Strasbourg}, volume = {22}, year = {1988}, pages = {51-71}, mrnumber = {960508}, zbl = {0644.60081}, language = {fr}, url = {http://dml.mathdoc.fr/item/SPS_1988__22__51_0} }
Hu, Y. Z.; Meyer, Paul-André. Chaos de Wiener et intégrale de Feynman. Séminaire de probabilités de Strasbourg, Tome 22 (1988) pp. 51-71. http://gdmltest.u-ga.fr/item/SPS_1988__22__51_0/
[1] Mathematical theory of F. path integrals. Lecture Notes in M. 523, 1976 | MR 495901 | Zbl 0337.28009
) et ).[2] Transformation canonique et renormalisa tion pour certaines équations d'évolution . JFA 50, 1983, 81-99. | MR 690000 | Zbl 0524.35092
) et ).[3] Some Banach algebras of analytic F. integrable functionals. Analytic Functions, LN 798, 1980, 18-67. | MR 577446 | Zbl 0439.28007
) et ).[4] Poisson processes on groups and F. path integrals. Comm. Math. Phys. 77. 1980, 269-288 et J. Math. Phys. 23, 1982, 405-411. | MR 594304 | Zbl 0526.22003
), ), ), ), ).[5] Feynman maps, Cameron Martin formulas and anharmonic oscillators. Ann IHP 41, 1984, 115-142. | Numdam | MR 769152 | Zbl 0578.28013
) et ).[6] A probabilistic formula for the quantum N-body problem... JFA 66, 1986, 308-322. | MR 839104 | Zbl 0588.46046
) et ).[7] Wiener-Hermite expansion of a process generated by an Ito stochastic differential equation. J. Appl. Prob. 20, 1983, 754-765. | MR 720467 | Zbl 0528.60055
) et ).[8] 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. | MR 216528 | Zbl 0135.18803
).[9] Generalized Dyson series, F. diagrams F. integral and F's operational calculus. Memoirs AMS 351, 1986. | MR 849943 | Zbl 0603.28014
) et ).[10] Scale invariant measurability in Wiener space. Pacific J.M. 83, 1979, 157-176. | MR 555044 | Zbl 0387.60070
) et ).[11] ----- Notes on the Feynman integral. Pacific J.M. 93, 1981, 313-324. JFA 41, 1981, 277-289. | MR 623567 | Zbl 0459.28011
[12] Generalized F. integration using analytic continuation in several complex variables. Stochastic analysis and applications, 217-267. Marcel Dekker 1984. | MR 776983 | Zbl 0554.60061
) et ).[13] The definition of F. integrals in the p-representation. Soviet Math. Doklady 17, 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. | MR 553076 | Zbl 0443.28010
) et ).[14] A propos des distributions sur l'espace de Wiener. Séminaire de Probabilités XX, 1987, 8-26. LN in M.. 1247. | Numdam | MR 941973 | Zbl 0632.60035
) et ).[15] Generalized brownian functionals and the F. integral. Stoch. Proc. Appl. 16, 1983, 55-69. | MR 723643 | Zbl 0575.60039
) et ).[16] Malliavin derivatives and derivatives of functionals of a Wiener process with respect to a scale parameter. Ann. Prob. 13, 1985, 609-615. | MR 781427 | Zbl 0562.60067
).