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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Conditional analytic Feynman integrals on abstract Wiener spaces


Author: Dong Myung Chung
Journal: Proc. Amer. Math. Soc. 112 (1991), 479-488
MSC: Primary 46G12; Secondary 28C20
MathSciNet review: 1060719
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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1060719-3
PII: S 0002-9939(1991)1060719-3
Keywords: Abstract Wiener space, conditional abstract Wiener integral, Feynman integral, conditional Feynman integral
Article copyright: © Copyright 1991 American Mathematical Society