최재길 사진

최재길 | 자유교양대학

  • 직급:
    교육부교수

교수소개

단국대학교 자연과학대학 수학과를 졸업하고 동대학원에서 이학석사학위와 이학박사학위를 취득하였다. 주요 논문은 "Integration by parts formulas involving generalized Fourier Feynman transforms on function space” 등 다수가 있다. 한국학술진흥재단 지원으로 미국 Louisiana 주립대학교 수학과에서 연구원으로 재직하며 연구를 하였고, 2007년 단국대학교 교양학부 강의전임, 2010년에는 강의전담교수, 2011년 부터 연구교수로 재직하였으며 2019년 교양교육대학 교양학부에 재직하고 있다. 주요 연구활동은 대한수학회, 대한수학교육학회의 회원으로 활동하고 있다. 주 연구분야는 generalized Brownian motion으로 구성되는 함수공간에서 정의되는 여러 범함수의 성질과 generalized Feynman integral과 generalized Fourier-Feynman transform이며 이와 관련한 다수의 연구 결과를 대한수학회 및 해외 저널에 발표하였다.

교육철학

知之者 不如好之者 好之者 不如樂之者

학력

  • [1998] 학사 단국대학교 수학과
  • [2000] 석사 단국대학교 수학과
  • [2005] 박사 단국대학교 수학과

주요연구분야

Probability measure theory
Stochastic analysis

연구업적

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  • 일반논문[20210701] Yeh-Fourier-Feynman transforms and convolutions associated with Gaussian processes
  • 일반논문[20210501] Relationship Between the Analytic Generalized Fourier-Feynman Transform and the Function Space Integral
  • 일반논문[20201201] An extension of the Cameron-Martin translation theorem via Fourier-Hermite functionals
  • 일반논문[20200701] ALGEBRAIC STRUCTURE OF THE L(2 )ANALYTIC FOURIER-FEYNMAN TRANSFORM ASSOCIATED WITH GAUSSIAN PATHS ON WIENER SPACE
  • 일반논문[20200401] Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener space
  • 일반논문[20200401] Generalized Fourier-Feynman transforms and generalized convolution products on Wiener space II
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  • 일반논문[20191001] Translation Theorem for Function Space Integral Associated with Gaussian Paths and Applications
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  • 일반논문[20190301] An Analytic Operator-Valued Generalized Feynman Integral on Function Space
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  • 일반논문[20181101] A CAMERON-STORVICK THEOREM FOR THE ANALYTIC FEYNMAN INTEGRAL ASSOCIATED WITH GAUSSIAN PATHS ON A WIENER SPACE AND APPLICATIONS
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  • 일반논문[20170301] Some relationships for the double modified generalized analytic function space Fourier–Feynman transform and its applications
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  • 일반논문[20160601] Effect of drift of the generalized Brownian motion process: an example for the analytic Feynman integral
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  • 일반논문[20131209] Sequential Generalized Transforms on Function Space
  • 일반논문[20131201] Note on generalized Wiener integrals
  • 일반논문[20130801] The behavior of conditional Wiener integrals on product Wiener space
  • 일반논문[20130717] A rotation of admixable operators on abstract Wiener space with applications
  • 일반논문[20130401] A Cameron-Storvick theorem for analytic Feynman integrals on product abstract Wiener space and applications
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  • 일반논문[20130131] A Fubini theorem for generalized analytic Feynman integral on function space
  • 일반논문[20130101] A Fubini theorem on a function space and its applications
  • 일반논문[20121201] Conditional integral transforms with related topics on function space
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  • 일반논문[20100701] Generalized Fourier-Feynman transforms, convolution products, and firat variations on function space
  • 일반논문[20091201] A note on the generalized Feynman integral; Translation theorem
  • 일반논문[20090930] 함수의 극값에서 이공계열 학생들의 오류에 대한 분석
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  • 일반논문[20021031] Relationships of convolution products, generalized transforms and the first variation on function space
  • 학술발표[20141212] An analytic bilateral Laplace-Feynman transform on Hilbert space
  • 학술발표[20140425] Sequential transforms on the function space
  • 학술발표[20140425] Several formulas for the generalized integral transforms via the translation theorem
  • 학술발표[20120519] A Fubini theorem for generalized analytic Feynman integral on function space
  • 학술발표[20120519] Algebraic structurre of generalized Fourier-Feynman transforms
  • 학술발표[20090523] Transforms and convolutions on function space
  • 학술발표[20080426] Transforms and convolutions of functionals belonging to a Fresnel type class on function space
  • 학술발표[20071021] A simple formula for conditional function space integrals
  • 학술발표[20070421] Evaluation formulas for conditional function space integrals
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