Conditional analytic Feynman integrals on abstract Wiener spaces

Chung, Dong Myung

doi:10.1090/S0002-9939-1991-1060719-3

Conditional analytic Feynman integrals on abstract Wiener spaces
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by Dong Myung Chung

Proc. Amer. Math. Soc. 112 (1991), 479-488

DOI: https://doi.org/10.1090/S0002-9939-1991-1060719-3

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Abstract:

In this paper we define the concept of a conditional analytic Feynman integral of a function $F$ on an abstract Wiener space $B$ given a function $X$ and then establish the existence of the conditional Feynman integral for all functions in the Fresnel class on $B$. We also use the conditional Feynman integral to provide a fundamental solution to the Schrödinger equation.

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