Parts formulas involving conditional Feynman integrals-Reference-Cited by-同舟云学术

Parts formulas involving conditional Feynman integrals

Published:2002-06 Issue:3 Volume:65 Page:353-369
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Chang Seung Jun,Skoug David

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference20 articles.

1. The first variation of an indefinite Wiener integral

2. An L2 analytic Fourier-Feynman transform;Cameron;Michigan Math. J.,1976

3. A translation theorem for analytic Feynman integrals

4. Translation Theorems for Fourier-Feynman Transforms and Conditional Fourier-Feynman Transforms

5. Some banach algebras of analytic feynman integrable functionals

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