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http://dx.doi.org/10.14403/jcms.2014.27.2.249

RELATIONSHIP BETWEEN THE WIENER INTEGRAL AND THE ANALYTIC FEYNMAN INTEGRAL OF CYLINDER FUNCTION  

Kim, Byoung Soo (School of Liberal Arts Seoul National University of Science and Technology)
Publication Information
Journal of the Chungcheong Mathematical Society / v.27, no.2, 2014 , pp. 249-260 More about this Journal
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.
Keywords
change of scale formula; Wiener integral; analytic Feynman integral;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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