Chang, Seung Jun; Choi, Jae Gil Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener space. (English) Zbl 1453.46042 Banach J. Math. Anal. 14, No. 2, 503-523 (2020). MSC: 46G12 28C20 60G15 42B10 PDFBibTeX XMLCite \textit{S. J. Chang} and \textit{J. G. Choi}, Banach J. Math. Anal. 14, No. 2, 503--523 (2020; Zbl 1453.46042) Full Text: DOI arXiv
Chang, Seung Jun; Choi, Jae Gil Generalized transforms and generalized convolution products associated with Gaussian paths on function space. (English) Zbl 1456.60083 Commun. Pure Appl. Anal. 19, No. 1, 371-389 (2020). MSC: 60G15 60G22 28C20 42B10 PDFBibTeX XMLCite \textit{S. J. Chang} and \textit{J. G. Choi}, Commun. Pure Appl. Anal. 19, No. 1, 371--389 (2020; Zbl 1456.60083) Full Text: DOI
Chang, Seung Jun; Choi, Jae Gil Translation theorem for function space integral associated with Gaussian paths and applications. (English) Zbl 1425.60035 Bull. Iran. Math. Soc. 45, No. 5, 1367-1387 (2019). MSC: 60G15 60J65 28C20 42B10 PDFBibTeX XMLCite \textit{S. J. Chang} and \textit{J. G. Choi}, Bull. Iran. Math. Soc. 45, No. 5, 1367--1387 (2019; Zbl 1425.60035) Full Text: DOI
Chang, Seung Jun; Choi, Jae Gil; Skoug, David Translation theorems for the Fourier-Feynman transform on the product function space \(C_{a,b}^2[0,T]\). (English) Zbl 1416.46046 Banach J. Math. Anal. 13, No. 1, 192-216 (2019). MSC: 46G12 28C20 60J65 42B10 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Banach J. Math. Anal. 13, No. 1, 192--216 (2019; Zbl 1416.46046) Full Text: DOI Euclid
Chang, Seung Jun; Choi, Jae Gil Rotation of Gaussian paths on Wiener space with applications. (English) Zbl 1407.46033 Banach J. Math. Anal. 12, No. 3, 651-672 (2018). MSC: 46G12 28C20 60J65 60G15 42B10 PDFBibTeX XMLCite \textit{S. J. Chang} and \textit{J. G. Choi}, Banach J. Math. Anal. 12, No. 3, 651--672 (2018; Zbl 1407.46033) Full Text: DOI Euclid
Chang, Seung Jun; Chung, Hyun Soo; Lee, Il Yong A new approach method to obtain the \(L_1\) generalized analytic Fourier-Feynman transform. (English) Zbl 1395.44013 Integral Transforms Spec. Funct. 29, No. 9, 745-760 (2018). MSC: 44A35 44A20 42A38 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Integral Transforms Spec. Funct. 29, No. 9, 745--760 (2018; Zbl 1395.44013) Full Text: DOI
Chang, Seung Jun; Choi, Jae Gil Analytic Fourier-Feynman transforms and convolution products associated with Gaussian processes on Wiener space. (English) Zbl 1382.28010 Banach J. Math. Anal. 11, No. 4, 785-807 (2017). MSC: 28C20 42B10 46G12 60G15 60J65 PDFBibTeX XMLCite \textit{S. J. Chang} and \textit{J. G. Choi}, Banach J. Math. Anal. 11, No. 4, 785--807 (2017; Zbl 1382.28010) Full Text: DOI arXiv Euclid
Chang, Seung Jun; Chung, Hyun Soo; Choi, Jae Gil Generalized Fourier-Feynman transforms and generalized convolution products on Wiener space. (English) Zbl 1378.42006 Indag. Math., New Ser. 28, No. 2, 566-579 (2017). Reviewer: Kun Soo Chang (Seoul) MSC: 42B10 44A35 28C20 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Indag. Math., New Ser. 28, No. 2, 566--579 (2017; Zbl 1378.42006) Full Text: DOI
Chang, Seung Jun; Chung, Hyun Soo; Lee, Il Yong Relationships between the \(\ast_w\)-product and the \(L_1\) analytic Fourier-Feynman transforms. (English) Zbl 1376.44006 Integral Transforms Spec. Funct. 28, No. 7, 519-533 (2017). Reviewer: Deshna Loonker (Jodhpur) MSC: 44A35 44A20 42A38 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Integral Transforms Spec. Funct. 28, No. 7, 519--533 (2017; Zbl 1376.44006) Full Text: DOI
Chang, Seung Jun; Choi, Jae Gil A representation for the inverse generalised Fourier-Feynman transform via convolution product on function space. (English) Zbl 1370.28005 Bull. Aust. Math. Soc. 95, No. 3, 424-435 (2017). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 42B10 60J65 PDFBibTeX XMLCite \textit{S. J. Chang} and \textit{J. G. Choi}, Bull. Aust. Math. Soc. 95, No. 3, 424--435 (2017; Zbl 1370.28005) Full Text: DOI
Chang, Seung Jun; Chung, Hyun Soo Some expressions for the inverse integral transform via the translation theorem on function space. (English) Zbl 1353.44003 J. Korean Math. Soc. 53, No. 6, 1261-1273 (2016). MSC: 44A15 28C20 60J65 46E20 42B35 PDFBibTeX XMLCite \textit{S. J. Chang} and \textit{H. S. Chung}, J. Korean Math. Soc. 53, No. 6, 1261--1273 (2016; Zbl 1353.44003) Full Text: DOI
Chang, Seung Jun; Chung, Hyun Soo; Choi, Jae Gil Sequential transforms associated with Gaussian processes on function space. (English) Zbl 1341.60078 Int. J. Math. 27, No. 4, Article ID 1650031, 22 p. (2016). MSC: 60H99 60H05 60G15 60J65 28C20 46G12 42B10 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Int. J. Math. 27, No. 4, Article ID 1650031, 22 p. (2016; Zbl 1341.60078) Full Text: DOI
Lee, Il Yong; Chung, Hyun Soo; Chang, Seung Jun Series expansions of the transform with respect to the Gaussian process. (English) Zbl 1338.60140 Integral Transforms Spec. Funct. 26, No. 4, 246-257 (2015). MSC: 60H05 60G15 60J25 42B10 28C20 PDFBibTeX XMLCite \textit{I. Y. Lee} et al., Integral Transforms Spec. Funct. 26, No. 4, 246--257 (2015; Zbl 1338.60140) Full Text: DOI
Chang, Seung Jun; Choi, Jae Gil An analytic bilateral Laplace-Feynman transform on Hilbert space. (English) Zbl 1309.28013 Int. J. Math. 25, No. 13, Article ID 1450118, 22 p. (2014). MSC: 28C20 60J65 42B10 PDFBibTeX XMLCite \textit{S. J. Chang} and \textit{J. G. Choi}, Int. J. Math. 25, No. 13, Article ID 1450118, 22 p. (2014; Zbl 1309.28013) Full Text: DOI
Choi, Jae Gil; Chang, Seung Jun Bilateral Laplace-Feynman transform for cylinder functionals on Wiener space. (English) Zbl 1284.28009 Integral Transforms Spec. Funct. 25, No. 2, 148-162 (2014). Reviewer: Gogi Pantsulaia (Tbilisi) MSC: 28C20 60J65 42B10 PDFBibTeX XMLCite \textit{J. G. Choi} and \textit{S. J. Chang}, Integral Transforms Spec. Funct. 25, No. 2, 148--162 (2014; Zbl 1284.28009) Full Text: DOI
Lee, Il Yong; Chung, Hyun Soo; Chang, Seung Jun Series expansions of the analytic Feynman integral for the Fourier-type functional. (English) Zbl 1267.28015 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 19, No. 2, 87-102 (2012). MSC: 28C20 42B10 43A32 60J65 PDFBibTeX XMLCite \textit{I. Y. Lee} et al., J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 19, No. 2, 87--102 (2012; Zbl 1267.28015) Full Text: DOI
Chang, Seung Jun; Chung, Hyun Soo; Skoug, David Integral transforms of functionals in \(L^{2}(C_{a,b}[0,T])\). (English) Zbl 1185.28023 J. Fourier Anal. Appl. 15, No. 4, 441-462 (2009). Reviewer: Wilfried Hazod (Dortmund) MSC: 28C20 44A15 60J65 46F15 42B35 PDFBibTeX XMLCite \textit{S. J. Chang} et al., J. Fourier Anal. Appl. 15, No. 4, 441--462 (2009; Zbl 1185.28023) Full Text: DOI