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Conditional first variation over Wiener paths in abstract Wiener space

조동현
대한수학회 (The Korean Mathematical Society)|2005.09|대한수학회지 (Journal of the KMS)|제42권 제5호|pp. 1031-1056

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Abstract

In this paper, we define the conditional first variation overWiener paths in abstract Wiener space and investigate itsproperties. Using these properties, we also investigaterelationships among first variation, conditional first variation,Fourier-Feynman transform and conditional Fourier-Feynmantransforms of functions in a Banach algebra which is equivalentto the Fresnel class. Finally, we provide another methodevaluating the Fourier-Feynman transform for the product of afunction in the Banach algebra with n linear factors.

참고문헌 (15)

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관련 논문AI추천

Conditional Fourier-Feynman transforms of variations over Wiener paths in abstract Wiener space조동현대한수학회 · 대한수학회지2006 · 제43권 제5호Change 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 제4호Change of scale formulas for Wiener integral over paths in abstract Wiener space김병수, 김태수대한수학회 · 대한수학회논문집2006 · 제21권 제1호Conditional Fourier-Feynman transform and convolution product over Wiener paths in abstract Wiener space : an{L}$_{\text{p}}$ theoryDong Hyun Cho대한수학회 · 대한수학회지2004 · 제41권 제2호Conditional integral transforms and convolutions for a general vector-valued conditioning functions김병수, 김봉진강원경기수학회 · 한국수학논문집2016 · 제24권 제3호

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