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Parts formulas involving conditional Feynman integrals

Published online by Cambridge University Press:  17 April 2009

Seung Jun Chang  and
David Skoug
Seung Jun Chang
Affiliation:
Department of Mathematics, Dankook University, Cheonan 330–714, Korea, e-mail: [email protected]
David Skoug
Affiliation:
Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, NE 68588–0323, United States of America, e-mail: [email protected]
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Abstract

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In this paper we first obtain a basic formula for the conditional analytic Feynman integral of the first variation of a functional on Wiener space. We then apply this basic result to obtain several integration by parts formulas for conditional analytic Feynman integrals and conditional Fourier-Feynman transforms.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 3 , June 2002 , pp. 353 - 369
Copyright
Copyright © Australian Mathematical Society 2002

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