학술저널
RELATIONSHIP BETWEEN THE WIENER INTEGRAL AND THE ANALYTIC FEYNMAN INTEGRAL OF CYLINDER FUNCTION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 27, No. 2
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2014.05249 - 260 (12 pages)
- 2
Cameron and Storvick discovered a change of scale for-mula for Wiener integral of functionals in a Banach algebra 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.
1. Introduction
2. Relationship between the Wiener integral and the ana- lytic Feynman integral of cylinder function
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