This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
ALBEVERIO (S.) et HOEGH-KROHN (R.). Mathematical theory of F. path integrals. Lecture Notes in M. 523, 1976
BERTRAND (J.) et GAVEAU (B.). Transformation canonique et renormalisa tion pour certaines équations d'évolution. JFA 50, 1983, 81–99.
CAMERON (R.H.) et STORVICK (D.A.). Some Banach algebras of analytic F. integrable functionals. Analytic Functions, LN 798, 1980, 18–67.
COMBE (P.), HOEGH-KROHN (R.), RODRIGUEZ (R.), SIRUGUE (M.), SIRUGUECOLLIN (M.). Poisson processes on groups and F. path integrals. Comm. Math. Phys. 77. 1980, 269–288 et J. Math. Phys. 23, 1982, 405–411.
ELWORTHY (D.) et TRUMAN (A.). Feynman maps, Cameron Martin formulas and anharmonic oscillators. Ann IHP 41, 1984, 115–142.
GAVEAU (B.) et KAC (M.). A probabilistic formula for the quantum N-body problem... JFA 66, 1986, 308–322.
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.
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.
JOHNSON (G.W.) et LAPIDUS (M.L.). Generalized Dyson series, F. diagrams F. integral and F's operational calculus. Memoirs AMS 351, 1986.
JOHNSON (G.W.) et SKOUG (D.L.). Scale invariant measurability in Wiener space. Pacific J.M. 83, 1979, 157–176.
—. Notes on the Feynman integral. Pacific J.M. 93, 1981, 313–324. JFA 41, 1981, 277–289.
KALLIANPUR (G.) et BROMLEY (C.). Generalized F. integration using analytic continuation in several complex variables. Stochastic analysis and applications, 217–267. Marcel Dekker 1984.
MASLOV (V.P.) et TCHEBOTAREV (A.M.). 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.
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.
STREIT (L.) et HIDA (T.). Generalized brownian functionals and the F. integral. Stoch. Proc. Appl. 16, 1983, 55–69.
ZAKAI (M.). Malliavin derivatives and derivatives of functionals of a Wiener process with respect to a scale parameter. Ann. Prob. 13, 1985, 609–615.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this chapter
Cite this chapter
Hu, Y.Z., Meyer, PA. (1988). Chaos de Wiener et integrale de Feynman. In: Azéma, J., Yor, M., Meyer, P.A. (eds) Séminaire de Probabilités XXII. Lecture Notes in Mathematics, vol 1321. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084118
Download citation
DOI: https://doi.org/10.1007/BFb0084118
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19351-7
Online ISBN: 978-3-540-39228-6
eBook Packages: Springer Book Archive
