논문KCI 등재
Change of scale formulas for Wiener integral over paths in abstract Wiener space
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Abstract
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.
참고문헌 (18)
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- "Relationships between the Wiener integral and the analytic Feynman integral", pp.117~ (1987)
- "Change of scale formulas for Wiener integral", pp.105~ (1987)
- "\it Generalized Feynman integrals using analytic continuation in several complex variables}" (1984), Marcel-Dekker Inc.
- "Analytic and sequential Feynman integrals on abstract Wiener and Hilbert spaces and a Cameron-Martin formula", pp.323~ (1985)
- "A change of scale formula for Wiener integrals of cylinder functionas on abstract Wiener spaces", pp.73~ (1998)
- "\it the law of the iterated logarithm for Brownian motion in a Banach space}", pp.253~ (1973)
- "The Wiener integrals over paths in abstract Wiener spaces", pp.317~ (1992)
- "The analytic Feynman integral over paths in abstract Wiener space", pp.93~ (1995)
- "Analytic Feynman integrable functions over paths in abstract Wiener space", pp.319~ (1998)
- "The analytic Feynman integral over paths in abstract Wiener space II", pp.351~ (1999)
- "A change of scale formula for Wiener integrals on abstract Wiener spaces", pp.239~ (1994)
- "A change of scale formula for Wiener integrals on abstract Wiener spaces II", pp.115~ (1994)
- "A change of scale formula for Wiener integrals of unbounded functions", pp.371~ (2004)
- "Change of scale formulas for Yeh-Wiener integrals" (1991)
관련 논문AI추천
Change of scale formulas for conditional Wiener integrals as integral transforms over Wiener paths in abstract Wiener space조동현대한수학회 · 대한수학회논문집2007 · 제22권 제1호A Change of scale formula for conditional Wiener integrals on classical Wiener space유일, 김병수, 송택섭, 장건수, 조동현대한수학회 · 대한수학회지2007 · 제44권 제4호A change of scale formula for Wiener integrals of unbounded functions II유일, 김병수, 송특섭대한수학회 · 대한수학회논문집2006 · 제21권 제1호Conditional first variation over Wiener paths in abstract Wiener space조동현대한수학회 · 대한수학회지2005 · 제42권 제5호An analogue of Wiener measure and its applications류근식, 임만규대한수학회 · 대한수학회지2002 · 제39권 제5호Conditional Fourier-Feynman transforms of variations over Wiener paths in abstract Wiener space조동현대한수학회 · 대한수학회지2006 · 제43권 제5호
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