논문KCI 등재
FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION OF FOURIER-TYPE FUNCTIONALS ON WIENER SPACE
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초록
We develop a Fourier-Feynman theory for Fourier-type functionals ΔkF and ΔkF on Wiener space. We show that Fourier-Feynman transform and convolution of Fourier-type functionals exist. We also show that the Fourier-Feynman transform of the convolution product of Fourier-type functionals is a product of Fourier-Feynman transforms of each functionals.
Abstract
We develop a Fourier-Feynman theory for Fourier-type functionals ΔkF and ΔkF on Wiener space. We show that Fourier-Feynman transform and convolution of Fourier-type functionals exist. We also show that the Fourier-Feynman transform of the convolution product of Fourier-type functionals is a product of Fourier-Feynman transforms of each functionals.
참고문헌 (15)
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관련 논문AI추천
Transforms and convolutions on function space장승준, 최재길대한수학회 · 대한수학회논문집2009 · 제24권 제3호CONDITIONAL FOURIER–FEYNMAN TRANSFORM AND CONDITIONAL CONVOLUTION PRODUCT ASSOCIATED WITH INFINITE DIMENSIONAL CONDITIONING FUNCTION심상길, 최재길대한수학회 · 대한수학회보2023 · 제60권 제5호Conditional Fourier-Feynman transforms and convolutions of unbounded functions on a generalized Wiener space조동현대한수학회 · 대한수학회지2013 · 제50권 제5호FOURIER-TYPE FUNCTIONALS ON WIENER SPACE정현수, Vu Kim Tuan대한수학회 · 대한수학회보2012 · 제49권 제3호Generalized Fourier--Feynman transforms and convolutions for exponential type functions of generalized Brownian motion paths최재길대한수학회 · 대한수학회논문집2023 · 제38권 제4호A New Analytic Fourier-Feynman Transform w.r.t. Subordinate Brownian MotionMohamed El Koufi한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제2호
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