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주요 연구 분야

  • 해석적 파인만 적분론 (Analytic Feynman Integration Theory)
  • 해석적 푸리에-파인만 변환 (Analytic Fourier-Feynman transform)
  • 무한차원 해석학 (Infinite Dimensional Analysis)

현재 연구인원

  • 변상훈 (shbyeon@dankook.ac.kr)
  • 유준재 (ryu32222860@dankook.ac.kr)

교수 주요이력

* Professor, Department of Mathematics, Dankook University
September 2026 – present
* Associate Professor, Department of Mathematics, Dankook University
September 2019 – August 2025
* Research professor, Department of Mathematics, Dankook University
September 2011 – August 2019
* Full-time lecturer, Department of Mathematics, Dankook University
March 2007 – August 2011
* Post-doc., Department of Mathematics, Louisiana State University, USA,
August 2005–August 2006 (Academic Advisor : Professor Hui-Hsiung Kuo)
* Reviewer of the American Mathematical Society, April 2005 – present

연구실적

• Shim, S.K., Choi, J.G.: Translation theorem for conditional function space integrals with applications, Mathematics, 13(2025), Article ID: 3022.
• Shim, S.K., Ko, A.Y., Choi, J.G.: Fubini theorem for conditional Fourier–eynman transforms associated with random vectors, Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, Tome 68(116)(2025), 113–126.
• Choi, J.G., Shim, S.K.: Conditional generalized Fourier–eynman transforms on function space and an application, Bulletin of the Korean Mathematical Society, 62(2025), 437–453.
• Chang, S.J., Choi, J.G.: Classes of transforms associated with bounded linear operators on abstract Wiener spaces, Filomat, 38(2024), 11239–11246.
• Choi, J.G., Shim, S.K.: 대학의 교양수학에서 인공지능과 수학 관련 교과목 개발에 대한 연구, 교양 교육 연구 (Korean Journal of General Education), 18(2004), 23–33.
• Lee, Y.H., Choi, J.G.: Fourier–eynman transforms of cylinder functionals combining Gaussian paths on Wiener space, Integral Transforms and Special Functions, 35(2024), 497–507.
• Choi, J.G.: Translation theorem for the analytic Feynman integral associated with bounded linear operators on abstract Wiener spaces and an application, Journal of the Korean Mathematical Society, 61(2024), 1035–1050.
• Choi, J.G.: Generalized Fourier–eynman transform of bounded cylinder functions on the function space $C_{a,b}[0,T], Kyungpook Mathematical Journal, 64(2024), 219–233.
• Choi, J.G.: Conditional Fourier–eynman transform and conditional convolution product given infinite-dimensional vector-valued conditioning function, Filomat, 38(2024), 3375–3387.
• Choi, J.G.: Generalized Fourier–eynman transforms and convolutions for exponential type functions of generalized Brownian motion paths, Communications of the Korean Mathematical Society, 38(2023), 1141–1151.
• Choi, J.G., Shim, S.K.: Conditional Fourier–eynman transform and conditional convolution product associated with infinite dimensional conditioning function, Bulletin of the Korean Mathematical Society, 60(2023), 1221–1235.
• Choi, J.G., Shim, S.K.: Conditional Fourier–eynman transforms given infinite dimensional conditioning function on abstract Wiener space. Czechoslovak Mathematical Journal, 73(2023), 849–868.
• Choi, J.G.: Conditional Wiener integral associated with Gaussian processes and applications, Filomat, 37(2003), 8791–8811.
• Ko, A.Y., Choi, J.G.: Conditional Fourier–eynman transform and conditional convolution product associated with vector-valued conditioning function, Journal of the Korean Society of Mathematical Education Series B: Pure and Applied Mathematics, 30(2023), 155–167.
• Choi, J.G.: Some effect of drift of the generalized Brownian motion process: Existence of the operator-valued generalized Feynman integral, Filomat, 37(2023), 4065-–4082.
• Choi, J.G.: Analytic Fourier–eynman transforms associated with bounded linear operators on abstract Wiener spaces, Journal of Mathematical Analysis and Applications, 521(2023), Article ID: 126952.
• Chang, S.J., Choi, J.G.: Evaluation formula for Wiener integrals of polynomials in terms of natural dual parings on abstract Wiener spaces, Bulletin of the Korean Mathematical Society, 59(2022), 1093–1103.
• Choi, J.G.: A rotation of Wiener integral associated with bounded operators on abstract
Wiener spaces, Operators and Matrices, 16(2022), 661–671.
• Choi, J.G.: Bilateral Laplace—eynman transform on abstract Wiener space, Integral Transforms and Special Functions, 33(2022), 513–529.
• Choi, J.G.: Cameron-–torvick theorem associated with Gaussian paths on function space, Turkish Journal of Mathematics, 45(2021), 2746–2758.
• Choi, J.G.: A representation for an inverse generalized Fourier–eynman transform associated with Gaussian process on function space, Journal of the Korean Society of Mathematical Education Series B: Pure and Applied Mathematics, 28(2021), 281–296.
• Choi, J.G., Skoug, D.: A Cameron–torvick theorem on $C_{a,b}^2[0,T]$ with applications, Communications of the Korean Mathematical Society, 36(2021), 685–704.
• Choi, J.G.: Yeh–ourier–eynman transforms and convolutions associated with Gaussian processes, Annals of Functional Analysis, 12(2021), Article number: 41
• Choi, J.G. : Relationship between the analytic generalized Fourier-–eynman transform and the function space integral, Results in Mathematics, 76(2021), Article number: 108.
• Lee, U.G., Choi, J.G.: An extension of the Cameron–Martin translation theorem via Fourier–Hermite functionals, Archiv der Mathematik, 115(2020), 679–689.
• Choi, J.G., Skoug, D.: Algebraic aspects of the L2 analytic Fourier–Feynman transform associated with Gaussian paths on Wiener space, Communications on Pure and Applied Analysis, 19(2020), 3829–3842.
• Chang, S.J., Choi, J.G.: Parts formulas involving the Fourier–eynman transform associated with Gaussian paths on Wiener space, Banach Journal of Mathematical Analysis, 14(2020), 503—523.
• Shim, S.K., Choi, J.G.: Generalized Fourier–eynman transforms and generalized convolution products on Wiener space II, Annals of Functional Analysis, 11(2020), 439—457.
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