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• W2013292215 abstract "A general class of infinite dimensional oscillatory integrals with polynomially growing phase functions is studied. A representation formula of the Parseval type is proved, as well as a formula giving the integrals in terms of analytically continued absolutely convergent integrals. These results are applied to provide a rigorous Feynman path integral representation for the solution of the time-dependent Schrödinger equation with a quartic anharmonic potential. The Borel summability of the asymptotic expansion of the solution in power series of the coupling constant is also proved." @default.
• W2013292215 created "2016-06-24" @default.
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• W2013292215 date "2005-04-01" @default.
• W2013292215 modified "2023-10-16" @default.
• W2013292215 title "Feynman path integrals for polynomially growing potentials" @default.
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• W2013292215 doi "https://doi.org/10.1016/j.jfa.2004.07.014" @default.
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