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Generalized analytic Feynman integral via function space integral of bounded cylinder functionals

정현수|최재길|장승준
대한수학회 (The Korean Mathematical Society)|2011.05|대한수학회보 (Bulletin of the KMS)|제48권 제3호|pp. 475-489

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참고문헌

키워드

generalized Brownian motionchange of scale formulageneralized analytic Feynman integralfunction space integralcylinder functional
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초록

In this paper, we use a generalized Brownian motion to define a generalized analytic Feynman integral. We then obtain some results for the generalized analytic Feynman integral of bounded cylinder functionals of the form F(x)=[기호](( g_1, x)^~, ....., (g_n, x)^~) defined on a very general function space C_(a,b)[0,T]. We also present a change of scale formula for function space integrals of such cylinder functionals.

Abstract

In this paper, we use a generalized Brownian motion to define a generalized analytic Feynman integral. We then obtain some results for the generalized analytic Feynman integral of bounded cylinder functionals of the form F(x)=[기호](( g_1, x)^~, ....., (g_n, x)^~) defined on a very general function space C_(a,b)[0,T]. We also present a change of scale formula for function space integrals of such cylinder functionals.

참고문헌 (21)

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