CHANGE OF SCALE FORMULAS FOR WIENER INTEGRAL OVER PATHS IN ABSTRACT WIENER SPACE

Title & Authors
CHANGE OF SCALE FORMULAS FOR WIENER INTEGRAL OVER PATHS IN ABSTRACT WIENER SPACE
Kim, Byoung-Soo; Kim, Tae-Soo;

Abstract
Wiener measure and Wiener measurability behave badly under the change of scale transformation. We express the analytic Feynman integral over $\small{C_0(B)}$ as a limit of Wiener integrals over $\small{C_0(B)}$ and establish change of scale formulas for Wiener integrals over $\small{C_0(B)}$ for some functionals.
Keywords
Wiener integral;Feynman integral;change of scale formula for Wiener integral;
Language
English
Cited by
1.
GENERALIZED ANALYTIC FEYNMAN INTEGRAL VIA FUNCTION SPACE INTEGRAL OF BOUNDED CYLINDER FUNCTIONALS, Bulletin of the Korean Mathematical Society, 2011, 48, 3, 475
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