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Communications of the Korean Mathematical Society
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Article . 2006
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Communications of the Korean Mathematical Society
Article . 2006 . Peer-reviewed
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https://dx.doi.org/10.4134/ckm...
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CHANGE OF SCALE FORMULAS FOR WIENER INTEGRAL OVER PATHS IN ABSTRACT WIENER SPACE

Change of scale formulas for Wiener integral over paths in abstract Wiener space
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2006 English Publisher:The Korean Mathematical SocietyJournal:Communications of the Korean Mathematical Society, volume 21, pages 75-88 (issn: 1225-1763, Copyright policy )
Authors: Kim, Byoung Soo; Kim, Tae Soo;

doi: 10.4134/ckms.2006.21.1.075

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

Abstract

Summary: Wiener measure and Wiener measurability behave bad-ly under the change of scale transformation. We express the analytic Feynman integral over \(C_0(B)\) as a limit of Wiener integrals over \(C_0(B)\) and establish change of scale formulas for Wiener integrals over \(C_0(B)\) for some functionals.

Keywords

Feynman integral, Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), change of scale formula for Wiener integral, Wiener integral

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
bronze