@article{AMBP_1996__3_1_211_0, author = {Zambrini, Jean-Claude}, title = {Feynman et les math\'ematiques}, journal = {Annales Math\'ematiques Blaise Pascal}, pages = {211--226}, publisher = {Laboratoires de Math\'ematiques Pures et Appliqu\'ees de l'Universit\'e Blaise Pascal}, volume = {3}, number = {1}, year = {1996}, zbl = {0864.60001}, mrnumber = {1397333}, language = {fr}, url = {http://www.numdam.org/item/AMBP_1996__3_1_211_0/} }
TY - JOUR AU - Zambrini, Jean-Claude TI - Feynman et les mathématiques JO - Annales Mathématiques Blaise Pascal PY - 1996 DA - 1996/// SP - 211 EP - 226 VL - 3 IS - 1 PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal UR - http://www.numdam.org/item/AMBP_1996__3_1_211_0/ UR - https://zbmath.org/?q=an%3A0864.60001 UR - https://www.ams.org/mathscinet-getitem?mr=1397333 LA - fr ID - AMBP_1996__3_1_211_0 ER -
Zambrini, Jean-Claude. Feynman et les mathématiques. Annales Mathématiques Blaise Pascal, Tome 3 (1996) no. 1, pp. 211-226. http://www.numdam.org/item/AMBP_1996__3_1_211_0/
[0] Discours de la méthode, Flammarion, Paris.
,[1] Mathematical foundations of Quantum Mechanics, Princeton Univ. Press, Princeton N. J. (1955). | MR 66944 | Zbl 0064.21503
,[2] Quantization as a problem of proper values, part I,II, Annalen der Physik (4), vol 79 (1926).
,[3] (1) Méthodes mathématiques de la mécanique classique, Editions Mir, Moscou (1976). (2) , , Foundations of Mechanics, Benjamin (1978). | MR 474391 | Zbl 0385.70001
,[4] Quantum mechanics and path integrals, Mc. Graw-Hill (1965). | Zbl 0176.54902
, ,[5] A family of integrals serving to connect the Wiener and Feynman integrals, J. Math. Physics 39,126 (1960). | MR 127776 | Zbl 0096.06901
,[6] Functional integration and quantum physics, Acad .Press, N. Y. (1979). | MR 544188 | Zbl 0434.28013
,[7] Controlled Markov processes and viscosity solutions, Springer-Verlag, New York (1993). | MR 1199811 | Zbl 0773.60070
, ,[8] Nonlinear elliptic and parabolic equations of the second order, Reidel, Dordrecht (1987). | Zbl 0619.35004
,[9] Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equation, part I, Comm. PDE 8, 1101 (1983; | MR 709164 | Zbl 0716.49022
,Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equation, part II, Comm. PDE 8, 1229 (1983). | MR 709162 | Zbl 0716.49023
,[10] Stochastic differential equations and diffusion processes, North - Holland Kodansha, N. Y., (1981). | MR 637061 | Zbl 0495.60005
, ,[11] A course in the theory of stochastic processes, Mc. Graw-Hill, N. Y. (1981). | Zbl 0502.60001
,[12] (1) J. Math. Phys. 27, 2307 (1986). (2) , , , Ann.Inst. Henri Poincaré, Phys. Th. 49 (3), 259 (1989). | Numdam | MR 854761 | Zbl 0687.60091
,[13] Dynamical theories of Brownian motion, Princeton Univ. Press, Princeton, N.J. (1967). | MR 214150 | Zbl 0165.58502
,[14] (1) Annals of Math. (2), 72, n. 1, 189 (1960). (2) , Z. Wahrsch. Gebiete 30, 65 (1974). | MR 125424 | Zbl 0091.13001
,[15] Journ. of Funct. Anal. vol 96, n.1, 62 (1991); Journ. of Funct.Anal. vol 130, n.2, 450 (1995). , , , Bernstein diffusions and Euclidean quantum field theory, in Progr. in Prob. vol 36, 77, E. Bolthausen, F. Russo Eds, Birkhäuser (1993).
, ,[16] Symmetries in stochastic calculus of variations, preprint Univ. Paris VI; The theorem of Noether in Schrödinger's Euclidean quantum mechanics, preprint Institut Mittag-Leffler. | MR 1440139
, ,[17] Stochastic calculus of variations and hypoelliptic operators, in Proc. Int. Symp. SDE, Kyoto 1976, Kinokuniya, Tokyo (1978). | Zbl 0411.60060
,[18] Leçons sur les invariants intégraux, Hermann, Paris (1971). | MR 355764 | Zbl 0212.12501
,[19]
, en préparation.