Analytic Feynman integrals of functionals in a Banach algebra involving the first variation

Abstract

This paper deals with the analytic Feynman integral of functionals on a Wiener space. First the authors establish the existence of the analytic Feynman integrals of functionals in a Banach algebra S _α. The authors then obtain a formula for the first variation of integrals. Finally, various analytic Feynman integration formulas involving the first variation are established.

Keywords

Analytic Feynman integral / Banach algebra / First variation / Cameron-Storvick theorem / Wiener space

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