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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 2005August 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 Fouriereynman transforms associated with random vectors, Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, Tome 68(116)(2025), 113126.
Choi, J.G., Shim, S.K.: Conditional generalized Fouriereynman transforms on function space and an application, Bulletin of the Korean Mathematical Society, 62(2025), 437453.
Chang, S.J., Choi, J.G.: Classes of transforms associated with bounded linear operators on abstract Wiener spaces, Filomat, 38(2024), 1123911246.
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), 2333.
Lee, Y.H., Choi, J.G.: Fouriereynman transforms of cylinder functionals combining Gaussian paths on Wiener space, Integral Transforms and Special Functions, 35(2024), 497507.
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), 10351050.
Choi, J.G.: Generalized Fouriereynman transform of bounded cylinder functions on the function space $C_{a,b}[0,T], Kyungpook Mathematical Journal, 64(2024), 219233.
Choi, J.G.: Conditional Fouriereynman transform and conditional convolution product given infinite-dimensional vector-valued conditioning function, Filomat, 38(2024), 33753387.
Choi, J.G.: Generalized Fouriereynman transforms and convolutions for exponential type functions of generalized Brownian motion paths, Communications of the Korean Mathematical Society, 38(2023), 11411151.
Choi, J.G., Shim, S.K.: Conditional Fouriereynman transform and conditional convolution product associated with infinite dimensional conditioning function, Bulletin of the Korean Mathematical Society, 60(2023), 12211235.
Choi, J.G., Shim, S.K.: Conditional Fouriereynman transforms given infinite dimensional conditioning function on abstract Wiener space. Czechoslovak Mathematical Journal, 73(2023), 849868.
Choi, J.G.: Conditional Wiener integral associated with Gaussian processes and applications, Filomat, 37(2003), 87918811.
Ko, A.Y., Choi, J.G.: Conditional Fouriereynman 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), 155167.
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 Fouriereynman 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), 10931103.
Choi, J.G.: A rotation of Wiener integral associated with bounded operators on abstract
Wiener spaces, Operators and Matrices, 16(2022), 661671.
Choi, J.G.: Bilateral Laplaceeynman transform on abstract Wiener space, Integral Transforms and Special Functions, 33(2022), 513529.
Choi, J.G.: Cameron-torvick theorem associated with Gaussian paths on function space, Turkish Journal of Mathematics, 45(2021), 27462758.
Choi, J.G.: A representation for an inverse generalized Fouriereynman transform associated with Gaussian process on function space, Journal of the Korean Society of Mathematical Education Series B: Pure and Applied Mathematics, 28(2021), 281296.
Choi, J.G., Skoug, D.: A Camerontorvick theorem on $C_{a,b}^2[0,T]$ with applications, Communications of the Korean Mathematical Society, 36(2021), 685704.
Choi, J.G.: Yehouriereynman 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 CameronMartin translation theorem via FourierHermite functionals, Archiv der Mathematik, 115(2020), 679689.
Choi, J.G., Skoug, D.: Algebraic aspects of the L2 analytic FourierFeynman transform associated with Gaussian paths on Wiener space, Communications on Pure and Applied Analysis, 19(2020), 38293842.
Chang, S.J., Choi, J.G.: Parts formulas involving the Fouriereynman transform associated with Gaussian paths on Wiener space, Banach Journal of Mathematical Analysis, 14(2020), 503523.
Shim, S.K., Choi, J.G.: Generalized Fouriereynman transforms and generalized convolution products on Wiener space II, Annals of Functional Analysis, 11(2020), 439457.
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