The basic purpose of the paper is to construct, for the indicated integrals, series expansions in terms of finite multiple integrals of increasing multiplicity ("generalized Dyson series'').
Johnson , G. W. and Lapidus , M. L. , Generalized Dyson series , generalized Feynman diagrams , the Feynman integral and Feynman's operational calculus . Memoirs Amer . Math . Soc . 62 ( 1986 ) , No. 351 , 1–78 .
The use of the more general Theorems 2.8 and 2.11 is helpful in these calculations and further examples are given in ... Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus.
N. Ikeda, S. Manabe, Asymptotic formulae for stochastic oscillatory integrals. ... G.W. Johnson, M.L. Lapidus, Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus. Mem. Amer.
Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus, Mem. Amer. Math. Soc. 62, 351, pp. 1–78. [202] Johnson, G. and Lapidus, M. (1988). Noncommutative operations on Wiener ...
T.L. Gill and W.W. Zachary, Time-ordered operators and Feynman-Dyson algebras, J. Math. ... G.W. Johnson and M.L. Lapidus, Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynman's operational calculus, ...
Feynman's operational calculi for noncommuting operators: The monogenic calculus, Advances in Applied Clifford Algebras, ... Generalized Dyson series, generalized Feynman diagrams, the Feynman integral and Feynmans operational calculus, ...
Am. Math. Soc. 62 (1986), No. 351, 1–78. (Reprinted by the American Mathematical Society in 1991.) Johnson, G. W. and Lapidus, M. L.: Feynman's operational calculus, generalized Dyson series and the Feynman integral ...
G.W. Johnson and M.L. Lapidus, Generalized Dyson series, generalized Feynman diagrams, the Feynman integral ... G.W. Johnson and M.L. Lapidus, Noncommutative operations on Wiener functionals and Feynman's operational calculus, J. Funct.
[ 5 ] : Feynman's operational calculus as a generalized path integral , in : S. Cambanis et al . ... M.L.:Generalized Dyson series , generalized Feynman diagrams , the Feynman integral and Feynman's operational calculus , Mem . Amer .