Relationship between the Wiener integral and the analytic Feynman integral of cylinder function

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Abstract

Cameron and Storvick discovered a change of scale formula for Wiener integral of functionals in a Banach algebra $\mathcal{S}$ on classical Wiener space. We express the analytic Feynman integral of cylinder function as a limit of Wiener integrals. Moreover we obtain the same change of scale formula as Cameron and Storvick's result for Wiener integral of cylinder function. Our result cover a restricted version of the change of scale formula by Kim.
Original languageEnglish
Pages (from-to)249-260
Number of pages12
Journal충청수학회지
Volume27
Issue number2
DOIs
StatePublished - May 2014

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