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SERIES EXPANSIONS OF THE ANALYTIC FEYNMAN INTEGRAL FOR THE FOURIER-TYPE FUNCTIONAL

정현수|장승준|이일용
한국수학교육학회|2012.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제19권 제2호|pp. 87-102|DOI http://dx.doi.org/10.7468/jksmeb.2012.19.2.87

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참고문헌

키워드

Fourier transformanalytic Feynman integralFourier-type functionalhypergeometric functionWiener space.
주제분류수학

초록

In this paper, we consider the Fourier-type functionals introduced in [16]. We then establish the analytic Feynman integral for the Fourier-type func-tionals. Further, we get a series expansion of the analytic Feynman integral for the Fourier-type functional [△(k)F] b. We conclude by applying our series expansion to several interesting functionals.

Abstract

In this paper, we consider the Fourier-type functionals introduced in [16]. We then establish the analytic Feynman integral for the Fourier-type func-tionals. Further, we get a series expansion of the analytic Feynman integral for the Fourier-type functional [△(k)F] b. We conclude by applying our series expansion to several interesting functionals.

참고문헌 (22)

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관련 논문AI추천

FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION OF FOURIER-TYPE FUNCTIONALS ON WIENER SPACE김병수영남수학회 · East Asian Mathematical Journal2013 · 제29권 제5호Conditional generalized Fourier-Feynman transform of functionals in a Fresnel type class장승준대한수학회 · 대한수학회논문집2011 · 제26권 제2호Operator-valued function space integrals via conditional integrals on an analogue Wiener space II조동현대한수학회 · 대한수학회보2016 · 제53권 제3호A Fubini theorem for generalized analytic Feynman integral on function space이일용, 장승준, 최재길대한수학회 · 대한수학회보2013 · 제50권 제1호A New Analytic Fourier-Feynman Transform w.r.t. Subordinate Brownian MotionMohamed El Koufi한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제2호FOURIER-TYPE FUNCTIONALS ON WIENER SPACE정현수, Vu Kim Tuan대한수학회 · 대한수학회보2012 · 제49권 제3호

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