Choi, Jae Gil; Skoug, David A Cameron-Storvick theorem on \(C_{a,b}^2 [0,T]\) with applications. (English) Zbl 1494.46039 Commun. Korean Math. Soc. 36, No. 4, 685-704 (2021). MSC: 46G12 28C20 60J65 PDFBibTeX XMLCite \textit{J. G. Choi} and \textit{D. Skoug}, Commun. Korean Math. Soc. 36, No. 4, 685--704 (2021; Zbl 1494.46039) Full Text: DOI arXiv
Choi, Jae Gil; Skoug, David Further results involving the Hilbert space \(L^2_{a,b}[0,T]\). (English) Zbl 1447.28015 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 27, No. 1, 1-11 (2020). MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{J. G. Choi} and \textit{D. Skoug}, J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 27, No. 1, 1--11 (2020; Zbl 1447.28015)
Choi, Jae Gil; Skoug, David Algebraic structure of the \(L_2\) analytic Fourier-Feynman transform associated with Gaussian paths on Wiener space. (English) Zbl 1444.42005 Commun. Pure Appl. Anal. 19, No. 7, 3829-3842 (2020). Reviewer: Virender Dalal (Delhi) MSC: 42A38 28C20 60G15 60J65 46B09 46G12 PDFBibTeX XMLCite \textit{J. G. Choi} and \textit{D. Skoug}, Commun. Pure Appl. Anal. 19, No. 7, 3829--3842 (2020; Zbl 1444.42005) Full Text: DOI
Chung, H. S.; Skoug, D.; Chang, S. J. Some formulas for the generalized analytic Feynman integrals on the Wiener space. (English) Zbl 1428.28021 J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 1, 8-19 (2019) and Izv. Nats. Akad. Nauk Armen., Mat. 54, No. 1, 76-92 (2019). MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{H. S. Chung} et al., J. Contemp. Math. Anal., Armen. Acad. Sci. 54, No. 1, 8--19 (2019; Zbl 1428.28021) Full Text: DOI
Chang, Seung Jun; Skoug, David; Choi, Jae Gil Rotation of Gaussian processes on function space. (English) Zbl 1429.46029 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2295-2308 (2019). MSC: 46G12 60G15 28C20 60J65 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2295--2308 (2019; Zbl 1429.46029) 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; Skoug, David; Chung, Hyun Soo A new concept of the analytic operator-valued Feynman integral on Wiener space. (English) Zbl 1377.60077 Numer. Funct. Anal. Optim. 38, No. 4, 427-442 (2017). MSC: 60J65 28C20 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Numer. Funct. Anal. Optim. 38, No. 4, 427--442 (2017; Zbl 1377.60077) Full Text: DOI
Chang, Seung Jun; Choi, Jae Gil; Skoug, David Admixable operators and a transform semigroup on abstract Wiener space. (English) Zbl 1310.28011 J. Korean Math. Soc. 52, No. 1, 141-157 (2015). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 46G12 20M20 PDFBibTeX XMLCite \textit{S. J. Chang} et al., J. Korean Math. Soc. 52, No. 1, 141--157 (2015; Zbl 1310.28011) Full Text: DOI Link
Chang, Seung Jun; Choi, Jae Gil; Skoug, David Algebraic structure of the \(L_2\) analytic Fourier-Feynman transform associated with Gaussian processes on Wiener space. arXiv:1511.03564 Preprint, arXiv:1511.03564 [math.PR] (2015). MSC: 28C20 60J25 60G15 54H15 BibTeX Cite \textit{S. J. Chang} et al., ``Algebraic structure of the $L_2$ analytic Fourier-Feynman transform associated with Gaussian processes on Wiener space'', Preprint, arXiv:1511.03564 [math.PR] (2015) Full Text: arXiv OA License
Chang, S. J.; Skoug, D.; Chung, H. S. Relationships for modified generalized integral transforms, modified convolution products and first variations on function space. (English) Zbl 1341.60077 Integral Transforms Spec. Funct. 25, No. 10, 790-804 (2014). MSC: 60H99 60H05 60J65 28C20 44A15 46C07 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Integral Transforms Spec. Funct. 25, No. 10, 790--804 (2014; Zbl 1341.60077) Full Text: DOI
Choi, Jae Gil; Skoug, David; Chang, Seung Jun Analytic operator-valued Feynman integrals of certain finite-dimensional functionals on function space. (English) Zbl 1296.28018 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 2, 907-916 (2014). MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{J. G. Choi} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 2, 907--916 (2014; Zbl 1296.28018) Full Text: DOI
Chung, Hyun Soo; Skoug, David; Chang, Seung Jun Relationships involving transforms and convolutions via the translation theorem. (English) Zbl 1295.60092 Stochastic Anal. Appl. 32, No. 2, 348-363 (2014). Reviewer: Kun Soo Chang (Seoul) MSC: 60J65 28C20 PDFBibTeX XMLCite \textit{H. S. Chung} et al., Stochastic Anal. Appl. 32, No. 2, 348--363 (2014; Zbl 1295.60092) Full Text: DOI
Choi, Jae Gil; Skoug, David; Chang, Seung Jun Generalized analytic Fourier-Feynman transform of functionals in a Banach algebra \(\mathcal F^{a,b}_{A_{1},A_{2}}\). (English) Zbl 1331.60095 J. Funct. Spaces Appl. 2013, Article ID 954098, 12 p. (2013). Reviewer: Sergey Ludkovsky (Moskva) MSC: 60H05 60G20 60B11 28C20 46G12 46T12 PDFBibTeX XMLCite \textit{J. G. Choi} et al., J. Funct. Spaces Appl. 2013, Article ID 954098, 12 p. (2013; Zbl 1331.60095) Full Text: DOI
Chung, H. S.; Skoug, D.; Chang, S. J. Double integral transforms and double convolution products of functionals on abstract Wiener space. (English) Zbl 1288.60094 Integral Transforms Spec. Funct. 24, No. 11, 922-933 (2013). Reviewer: Kun Soo Chang (Seoul) MSC: 60J65 28C20 44A15 46C07 PDFBibTeX XMLCite \textit{H. S. Chung} et al., Integral Transforms Spec. Funct. 24, No. 11, 922--933 (2013; Zbl 1288.60094) Full Text: DOI
Choi, Jae Gil; Skouge, David; Chang, Seung Jun The behavior of conditional Wiener integrals on product Wiener space. (English) Zbl 1280.28017 Math. Nachr. 286, No. 11-12, 1114-1128 (2013). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{J. G. Choi} et al., Math. Nachr. 286, No. 11--12, 1114--1128 (2013; Zbl 1280.28017) Full Text: DOI
Pierce, Ian; Skoug, David Reflection principles for general Wiener function spaces. (English) Zbl 1277.28019 J. Korean Math. Soc. 50, No. 3, 607-625 (2013). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 46G12 60G20 PDFBibTeX XMLCite \textit{I. Pierce} and \textit{D. Skoug}, J. Korean Math. Soc. 50, No. 3, 607--625 (2013; Zbl 1277.28019) Full Text: DOI Link
Pierce, Ian; Skoug, David Comparing the distribution of various suprema on two-parameter Wiener space. (English) Zbl 1329.60143 Proc. Am. Math. Soc. 141, No. 6, 2149-2152 (2013). MSC: 60G60 60G15 60F99 60G17 PDFBibTeX XMLCite \textit{I. Pierce} and \textit{D. Skoug}, Proc. Am. Math. Soc. 141, No. 6, 2149--2152 (2013; Zbl 1329.60143) Full Text: DOI
Chung, Hyun Soo; Skoug, David; Chang, Seung Jun A Fubini theorem for integral transforms and convolution products. (English) Zbl 1279.60107 Int. J. Math. 24, No. 3, Article ID 1350024, 13p. (2013). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 60J65 28C20 44A15 PDFBibTeX XMLCite \textit{H. S. Chung} et al., Int. J. Math. 24, No. 3, Article ID 1350024, 13p. (2013; Zbl 1279.60107) Full Text: DOI
Chang, Seung Jun; Chung, Hyun Soo; Skoug, David Some basic relationships among transforms, convolution products, first variations and inverse transforms. (English) Zbl 1260.28013 Cent. Eur. J. Math. 11, No. 3, 538-551 (2013). MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Cent. Eur. J. Math. 11, No. 3, 538--551 (2013; Zbl 1260.28013) Full Text: DOI
Choi, Jae Gil; Skoug, David; Chang, Seung Jun A multiple generalized Fourier-Feynman transform via a rotation on Wiener space. (English) Zbl 1250.28010 Int. J. Math. 23, No. 7, Article ID 1250068, 20 p. (2012). MSC: 28C20 60G15 43A32 60J65 PDFBibTeX XMLCite \textit{J. G. Choi} et al., Int. J. Math. 23, No. 7, Article ID 1250068, 20 p. (2012; Zbl 1250.28010) Full Text: DOI
Chang, Seung Jun; Choi, Jae Gil; Skoug, David Evaluation formulas for conditional function space integrals. II. (English) Zbl 1223.28017 Panam. Math. J. 20, No. 3, 1-25 (2010). MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Panam. Math. J. 20, No. 3, 1--25 (2010; Zbl 1223.28017)
Chang, Seung Jun; Choi, Jae Gil; Skoug, David Generalized Fourier-Feynman transforms, convolution products, and first variations on function space. (English) Zbl 1202.60133 Rocky Mt. J. Math. 40, No. 3, 761-788 (2010). Reviewer: René L. Schilling (Dresden) MSC: 60J65 28C20 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Rocky Mt. J. Math. 40, No. 3, 761--788 (2010; Zbl 1202.60133) Full Text: DOI
Chang, Seung Jun; Chung, Hyun Soo; Skoug, David Convolution products, integral transforms and inverse integral transforms of functionals in \(L_2(C_0[0, T])\). (English) Zbl 1202.28015 Integral Transforms Spec. Funct. 21, No. 1-2, 143-151 (2010). Reviewer: C. Castaing (Montpellier) MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Integral Transforms Spec. Funct. 21, No. 1--2, 143--151 (2010; Zbl 1202.28015) 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
Chang, Seung Jun; Choi, Jae Gil; Skoug, David Simple formulas for conditional function space integrals and applications. (English) Zbl 1206.60073 Integr., Math. Theory Appl. 1, No. 1, 1-20 (2008). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60J65 28C20 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Integr., Math. Theory Appl. 1, No. 1, 1--20 (2008; Zbl 1206.60073)
Pierce, Ian; Skoug, David Integration formulas for functionals on the function space \(C_{a,b}[0,T]\) involving Paley-Wiener-Zygmund stochastic integrals. (English) Zbl 1216.28017 Panam. Math. J. 18, No. 4, 101-112 (2008). MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{I. Pierce} and \textit{D. Skoug}, Panam. Math. J. 18, No. 4, 101--112 (2008; Zbl 1216.28017)
Chang, Seung Jun; Choi, Jae Gil; Skoug, David Evaluation formulas for conditional function space integrals. I. (English) Zbl 1115.28015 Stochastic Anal. Appl. 25, No. 1, 141-168 (2007). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Stochastic Anal. Appl. 25, No. 1, 141--168 (2007; Zbl 1115.28015) Full Text: DOI
Kim, Bong Jin; Kim, Byoung Soo; Skoug, David Integral transforms, convolution products, and first variations. (English) Zbl 1104.28010 Int. J. Math. Math. Sci. 2004, No. 9-12, 579-598 (2004). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 PDFBibTeX XMLCite \textit{B. J. Kim} et al., Int. J. Math. Math. Sci. 2004, No. 9--12, 579--598 (2004; Zbl 1104.28010) Full Text: DOI EuDML
Chang, Seung Jun; Choi, Jae Gil; Skoug, David Parts formulas involving conditional generalized Feynman integrals and conditional generalized Fourier-Feynman transforms on function space. (English) Zbl 1075.60105 Integral Transforms Spec. Funct. 15, No. 6, 491-512 (2004). Reviewer: Kun Soo Chang (Seoul) MSC: 60J65 28C20 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Integral Transforms Spec. Funct. 15, No. 6, 491--512 (2004; Zbl 1075.60105) Full Text: DOI
Skoug, David; Storvick, David A survey of results involving transforms and convolutions in function space. (English) Zbl 1172.42308 Rocky Mt. J. Math. 34, No. 3, 1147-1175 (2004). MSC: 42B10 28C20 60E10 PDFBibTeX XMLCite \textit{D. Skoug} and \textit{D. Storvick}, Rocky Mt. J. Math. 34, No. 3, 1147--1175 (2004; Zbl 1172.42308) Full Text: DOI
Kim, Bong Jin; Kim, Byoung Soo; Skoug, David Conditional integral transforms, conditional convolution products and first variations. (English) Zbl 1104.28009 Panam. Math. J. 14, No. 3, 27-47 (2004). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 PDFBibTeX XMLCite \textit{B. J. Kim} et al., Panam. Math. J. 14, No. 3, 27--47 (2004; Zbl 1104.28009)
Kim, Byoung Soo; Skoug, David Integral transforms of functionals in \(L_2(C_0[0,T])\). (English) Zbl 1062.28017 Rocky Mt. J. Math. 33, No. 4, 1379-1393 (2003). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 60J65 44A15 42A38 PDFBibTeX XMLCite \textit{B. S. Kim} and \textit{D. Skoug}, Rocky Mt. J. Math. 33, No. 4, 1379--1393 (2003; Zbl 1062.28017) Full Text: DOI
Chang, Seung Jun; Skoug, David Generalized Fourier-Feynman transforms and a first variation on function space. (English) Zbl 1043.28014 Integral Transforms Spec. Funct. 14, No. 5, 375-393 (2003). MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{S. J. Chang} and \textit{D. Skoug}, Integral Transforms Spec. Funct. 14, No. 5, 375--393 (2003; Zbl 1043.28014) Full Text: DOI
Chang, Seung Jun; Choi, Jae Gil; Skoug, David Integration by parts formulas involving generalized Fourier-Feynman transforms on function space. (English) Zbl 1014.60077 Trans. Am. Math. Soc. 355, No. 7, 2925-2948 (2003). MSC: 60J65 28C20 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Trans. Am. Math. Soc. 355, No. 7, 2925--2948 (2003; Zbl 1014.60077) Full Text: DOI
Chang, Seung Jun; Skoug, David Parts formulas involving conditional Feynman integrals. (English) Zbl 1033.28008 Bull. Aust. Math. Soc. 65, No. 3, 353-369 (2002). Reviewer: Joo Sup Chang (Hanyang) MSC: 28C20 81S40 PDFBibTeX XMLCite \textit{S. J. Chang} and \textit{D. Skoug}, Bull. Aust. Math. Soc. 65, No. 3, 353--369 (2002; Zbl 1033.28008) Full Text: DOI
Huffman, Timothy; Skoug, David; Storvick, David Integration formulas involving Fourier-Feynman transforms via a Fubini theorem. (English) Zbl 1034.28009 J. Korean Math. Soc. 38, No. 2, 421-435 (2001). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{T. Huffman} et al., J. Korean Math. Soc. 38, No. 2, 421--435 (2001; Zbl 1034.28009)
Huffman, Timothy; Skoug, David; Storvick, David A Fubini theorem for analytic Feynman integrals with applications. (English) Zbl 0984.28008 J. Korean Math. Soc. 38, No. 2, 409-420 (2001). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 PDFBibTeX XMLCite \textit{T. Huffman} et al., J. Korean Math. Soc. 38, No. 2, 409--420 (2001; Zbl 0984.28008)
Park, Chull; Skoug, David Conditional Fourier-Feynman transforms and conditional convolution products. (English) Zbl 1015.28016 J. Korean Math. Soc. 38, No. 1, 61-76 (2001). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, J. Korean Math. Soc. 38, No. 1, 61--76 (2001; Zbl 1015.28016)
Chang, Seung Jun; Skoug, David The effect of drift on conditional Fourier-Feynman transforms and conditional convolution products. (English) Zbl 1171.81405 Int. J. Appl. Math. 2, No. 4, 505-527 (2000). MSC: 81S40 28C20 60J65 PDFBibTeX XMLCite \textit{S. J. Chang} and \textit{D. Skoug}, Int. J. Appl. Math. 2, No. 4, 505--527 (2000; Zbl 1171.81405)
Chang, Seung Jun; Park, Chull; Skoug, David Translation theorems for Fourier-Feynman transforms and conditional Fourier-Feynman transforms. (English) Zbl 1034.28008 Rocky Mt. J. Math. 30, No. 2, 477-496 (2000). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 81S40 60H05 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Rocky Mt. J. Math. 30, No. 2, 477--496 (2000; Zbl 1034.28008) Full Text: DOI Link
Park, Chull; Skoug, David Fourier-Feynman transforms and a Feynman integral equation. (English) Zbl 0963.28011 Panam. Math. J. 10, No. 3, 71-81 (2000). Reviewer: Oleksandr Kukush (Kiev) MSC: 28C20 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, Panam. Math. J. 10, No. 3, 71--81 (2000; Zbl 0963.28011)
Chang, Seung Jun; Skoug, David The effect of drift on the Fourier-Feynman transform, the convolution product and the first variation. (English) Zbl 0976.28008 Panam. Math. J. 10, No. 2, 25-38 (2000). Reviewer: Kun Soo Chang (Seoul) MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{S. J. Chang} and \textit{D. Skoug}, Panam. Math. J. 10, No. 2, 25--38 (2000; Zbl 0976.28008)
Chang, Seung Jun; Kang, Soon Ja; Skoug, David Conditional generalized analytic Feynman integrals and a generalized integral equation. (English) Zbl 0960.28007 Int. J. Math. Math. Sci. 23, No. 11, 759-776 (2000). Reviewer: Oleksandr Kukush (Kiev) MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{S. J. Chang} et al., Int. J. Math. Math. Sci. 23, No. 11, 759--776 (2000; Zbl 0960.28007) Full Text: DOI EuDML
Kim, Jeong Gyoo; Ko, Jung Won; Park, Chull; Skoug, David Relationships among transforms, convolutions, and first variations. (English) Zbl 1030.28007 Int. J. Math. Math. Sci. 22, No. 1, 191-204 (1999). MSC: 28C20 46F25 60H05 PDFBibTeX XMLCite \textit{J. G. Kim} et al., Int. J. Math. Math. Sci. 22, No. 1, 191--204 (1999; Zbl 1030.28007) Full Text: DOI EuDML
Park, Chull; Skoug, David Integration by parts formulas involving analytic Feynman integrals. (English) Zbl 0958.46042 Panam. Math. J. 8, No. 4, 1-11 (1998). MSC: 46T12 46G12 28C20 60J65 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, Panam. Math. J. 8, No. 4, 1--11 (1998; Zbl 0958.46042)
Park, Chull; Skoug, David; Storvick, David Relationships among the first variation, the convolution product, and the Fourier-Feynman transform. (English) Zbl 0934.28008 Rocky Mt. J. Math. 28, No. 4, 1447-1468 (1998). Reviewer: N.Angelescu (Bucureşti) MSC: 28C20 44A15 81S40 PDFBibTeX XMLCite \textit{C. Park} et al., Rocky Mt. J. Math. 28, No. 4, 1447--1468 (1998; Zbl 0934.28008) Full Text: DOI Link
Park, Chull; Skoug, David; Storvick, David Fourier-Feynman transforms and the first variation. (English) Zbl 0907.28008 Rend. Circ. Mat. Palermo, II. Ser. 47, No. 2, 277-292 (1998). MSC: 28C20 46G12 81Q30 PDFBibTeX XMLCite \textit{C. Park} et al., Rend. Circ. Mat. Palermo (2) 47, No. 2, 277--292 (1998; Zbl 0907.28008) Full Text: DOI
Huffman, Timothy; Park, Chull; Skoug, David Convolution and Fourier-Feynman transforms. (English) Zbl 0901.28010 Rocky Mt. J. Math. 27, No. 3, 827-841 (1997). Reviewer: Oleksandr Kukush (Kyiv) MSC: 28C20 PDFBibTeX XMLCite \textit{T. Huffman} et al., Rocky Mt. J. Math. 27, No. 3, 827--841 (1997; Zbl 0901.28010) Full Text: DOI Link
Huffman, Timothy; Park, Chull; Skoug, David Generalized transforms and convolutions. (English) Zbl 0982.28011 Int. J. Math. Math. Sci. 20, No. 1, 19-32 (1997). Reviewer: V.A.Romanov (MR 97k:46047) MSC: 28C20 46F25 46G12 PDFBibTeX XMLCite \textit{T. Huffman} et al., Int. J. Math. Math. Sci. 20, No. 1, 19--32 (1997; Zbl 0982.28011) Full Text: DOI EuDML
Park, Chull; Skoug, David Linear transformations of multi-parameter Wiener integrals. (English) Zbl 0901.46035 Panam. Math. J. 7, No. 2, 15-25 (1997). MSC: 46G12 28C20 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, Panam. Math. J. 7, No. 2, 15--25 (1997; Zbl 0901.46035)
Park, Chull; Skoug, David Boundary-valued conditional Yeh-Wiener integrals and a Kac-Feynman Wiener integral equation. (English) Zbl 0885.60074 J. Korean Math. Soc. 33, No. 4, 763-775 (1996). Reviewer: N.M.Zinchenko (Kyïv) MSC: 60J65 28C20 60G60 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, J. Korean Math. Soc. 33, No. 4, 763--775 (1996; Zbl 0885.60074)
Park, Chull; Skoug, David Grid-valued conditional Yeh-Wiener integrals and a Kac-Feynman Wiener integral equation. (English) Zbl 0863.28007 J. Integral Equations Appl. 8, No. 2, 213-230 (1996). MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, J. Integral Equations Appl. 8, No. 2, 213--230 (1996; Zbl 0863.28007) Full Text: DOI
Huffman, Timothy; Park, Chull; Skoug, David Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals. (English) Zbl 0864.28007 Mich. Math. J. 43, No. 2, 247-261 (1996). Reviewer: N.Angelescu (Bucureşti) MSC: 28C20 42A38 PDFBibTeX XMLCite \textit{T. Huffman} et al., Mich. Math. J. 43, No. 2, 247--261 (1996; Zbl 0864.28007) Full Text: DOI
Park, Chull; Skoug, David Multiple path-valued conditional Yeh-Wiener integrals. (English) Zbl 0863.28006 Proc. Am. Math. Soc. 124, No. 7, 2029-2039 (1996). Reviewer: S.A.Chobanjan (Tbilisi) MSC: 28C20 60J65 60B11 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, Proc. Am. Math. Soc. 124, No. 7, 2029--2039 (1996; Zbl 0863.28006) Full Text: DOI
Park, Chull; Skoug, David Conditional Wiener integrals. II. (English) Zbl 0868.28007 Pac. J. Math. 167, No. 2, 293-312 (1995). MSC: 28C20 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, Pac. J. Math. 167, No. 2, 293--312 (1995; Zbl 0868.28007) Full Text: DOI
Huffman, Timothy; Park, Chull; Skoug, David Analytic Fourier-Feynman transforms and convolution. (English) Zbl 0880.28011 Trans. Am. Math. Soc. 347, No. 2, 661-673 (1995). Reviewer: N.Angelescu (Bucureşti) MSC: 28C20 PDFBibTeX XMLCite \textit{T. Huffman} et al., Trans. Am. Math. Soc. 347, No. 2, 661--673 (1995; Zbl 0880.28011) Full Text: DOI
Yoo, Il; Skoug, David A change of scale formula for Wiener integrals on abstract Wiener spaces. (English) Zbl 0802.28008 Int. J. Math. Math. Sci. 17, No. 2, 239-247 (1994). Reviewer: N.Angelescu (Bucureşti) MSC: 28C20 PDFBibTeX XMLCite \textit{I. Yoo} and \textit{D. Skoug}, Int. J. Math. Math. Sci. 17, No. 2, 239--247 (1994; Zbl 0802.28008) Full Text: DOI
Yoo, Il; Skoug, David A change of scale formula for Wiener integrals on abstract Wiener spaces. II. (English) Zbl 0802.28009 J. Korean Math. Soc. 31, No. 1, 115-129 (1994). Reviewer: N.Angelescu (Bucureşti) MSC: 28C20 PDFBibTeX XMLCite \textit{I. Yoo} and \textit{D. Skoug}, J. Korean Math. Soc. 31, No. 1, 115--129 (1994; Zbl 0802.28009)
Park, Chull; Skoug, David An operator-valued Yeh-Wiener integral and a Kac-Feynman Wiener integral equation. (English) Zbl 0796.60084 Proc. Am. Math. Soc. 120, No. 3, 929-942 (1994). MSC: 60J65 28C20 60G15 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, Proc. Am. Math. Soc. 120, No. 3, 929--942 (1994; Zbl 0796.60084) Full Text: DOI
Park, Chull; Skoug, David Generalized conditional Yeh-Wiener integrals and a Wiener integral equation. (English) Zbl 0795.28012 J. Integral Equations Appl. 5, No. 4, 503-518 (1993). MSC: 28C20 60J65 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, J. Integral Equations Appl. 5, No. 4, 503--518 (1993; Zbl 0795.28012) Full Text: DOI
Chung, Dong Myung; Park, Chull; Skoug, David Generalized Feynman integrals via conditional Feynman integrals. (English) Zbl 0799.60049 Mich. Math. J. 40, No. 2, 377-391 (1993). Reviewer: S.K.Srinivasan (Madras) MSC: 60H05 28A25 60B11 28B05 28C20 PDFBibTeX XMLCite \textit{D. M. Chung} et al., Mich. Math. J. 40, No. 2, 377--391 (1993; Zbl 0799.60049) Full Text: DOI
Park, Chull; Skoug, David Linear transformations of Wiener integrals. (English) Zbl 0768.28004 Proc. Am. Math. Soc. 116, No. 2, 445-456 (1992). MSC: 28C20 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, Proc. Am. Math. Soc. 116, No. 2, 445--456 (1992; Zbl 0768.28004) Full Text: DOI
Park, Chull; Skoug, David Sample path-valued conditional Yeh-Wiener integrals and a Wiener integral equation. (English) Zbl 0756.60051 Proc. Am. Math. Soc. 115, No. 2, 479-487 (1992). MSC: 60H05 60J25 28C20 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, Proc. Am. Math. Soc. 115, No. 2, 479--487 (1992; Zbl 0756.60051) Full Text: DOI
Ahn, J. M.; Johnson, G. W.; Skoug, D. L. Functions in the Fresnel class of an abstract Wiener space. (English) Zbl 0752.28004 J. Korean Math. Soc. 28, No. 2, 245-265 (1991). Reviewer: P.Raboin (Nancy) MSC: 28C20 PDFBibTeX XMLCite \textit{J. M. Ahn} et al., J. Korean Math. Soc. 28, No. 2, 245--265 (1991; Zbl 0752.28004)
Park, Chull; Skoug, David A Kac-Feynman integral equation for conditional Wiener integrals. (English) Zbl 0751.45003 J. Integral Equations Appl. 3, No. 3, 411-427 (1991). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 45E10 81Q30 28C20 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, J. Integral Equations Appl. 3, No. 3, 411--427 (1991; Zbl 0751.45003) Full Text: DOI
Chang, Joo Sup; Park, Chull; Skoug, David Fundamental theorem of Yeh-Wiener calculus. (English) Zbl 0745.60049 Stochastic Anal. Appl. 9, No. 3, 245-262 (1991). Reviewer: T.C.Gard (Athens/Georgia) MSC: 60H05 PDFBibTeX XMLCite \textit{J. S. Chang} et al., Stochastic Anal. Appl. 9, No. 3, 245--262 (1991; Zbl 0745.60049) Full Text: DOI
Chung, Dong Myung; Park, Chull; Skoug, David Operator-valued Feynman integrals via conditional Feynman integrals. (English) Zbl 0732.28008 Pac. J. Math. 146, No. 1, 21-42 (1990). Reviewer: A.Badrikian (Aubière) MSC: 28C20 PDFBibTeX XMLCite \textit{D. M. Chung} et al., Pac. J. Math. 146, No. 1, 21--42 (1990; Zbl 0732.28008) Full Text: DOI
Park, Chull; Skoug, David; Smolowitz, Lawrence Fundamental theorem of Wiener calculus. (English) Zbl 0704.28007 Int. J. Math. Math. Sci. 13, No. 3, 443-452 (1990). Reviewer: P.Raboin MSC: 28C20 46G05 PDFBibTeX XMLCite \textit{C. Park} et al., Int. J. Math. Math. Sci. 13, No. 3, 443--452 (1990; Zbl 0704.28007) Full Text: DOI EuDML
Ryu, Kun Sik; Skoug, David A noncommutative but internal multiplication on the Banach algebra \(A_ t\). (English) Zbl 0684.28006 Bull. Korean Math. Soc. 26, No. 1, 11-17 (1989). Reviewer: A.Badrikian MSC: 28C20 81Q30 46L51 46L53 46L54 PDFBibTeX XMLCite \textit{K. S. Ryu} and \textit{D. Skoug}, Bull. Korean Math. Soc. 26, No. 1, 11--17 (1989; Zbl 0684.28006)
Chung, Dong Myung; Skoug, David Conditional analytic Feynman integrals and a related Schrödinger integral equation. (English) Zbl 0678.28007 SIAM J. Math. Anal. 20, No. 4, 950-965 (1989). Reviewer: N.Angelescu MSC: 28C20 58D30 81S40 PDFBibTeX XMLCite \textit{D. M. Chung} and \textit{D. Skoug}, SIAM J. Math. Anal. 20, No. 4, 950--965 (1989; Zbl 0678.28007) Full Text: DOI
Park, Chull; Skoug, David Conditional Yeh-Wiener integrals with vector-valued conditioning functions. (English) Zbl 0665.60079 Proc. Am. Math. Soc. 105, No. 2, 450-461 (1989). Reviewer: M.Dozzi MSC: 60J65 28C20 60H05 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, Proc. Am. Math. Soc. 105, No. 2, 450--461 (1989; Zbl 0665.60079) Full Text: DOI
Park, Chull; Skoug, David A note on Paley-Wiener-Zygmund stochastic integrals. (English) Zbl 0662.60063 Proc. Am. Math. Soc. 103, No. 2, 591-601 (1988). Reviewer: V.Mackevičius MSC: 60H05 60J65 60G60 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, Proc. Am. Math. Soc. 103, No. 2, 591--601 (1988; Zbl 0662.60063) Full Text: DOI
Skoug, David Feynman integrals involving quadratic potentials, stochastic integration formulas, and bounded variation for functions of several variables. (English) Zbl 0658.28007 Functional integration with emphasis on the Feynman integral, Proc. Workshop, Sherbrooke/Can. 1986, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 17, 331-347 (1988). Reviewer: Ju.M.Ryžov MSC: 28C20 81Q30 PDFBibTeX XML
Park, Chull; Skoug, David The Feynman integral of quadratic potentials depending on n time variables. (English) Zbl 0655.28010 Nagoya Math. J. 110, 151-162 (1988). Reviewer: A.Badrikian MSC: 28C20 60B11 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, Nagoya Math. J. 110, 151--162 (1988; Zbl 0655.28010) Full Text: DOI
Park, Chull; Skoug, David A simple formula for conditional Wiener integrals with applications. (English) Zbl 0655.28007 Pac. J. Math. 135, No. 2, 381-394 (1988). MSC: 28C20 60B11 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Skoug}, Pac. J. Math. 135, No. 2, 381--394 (1988; Zbl 0655.28007) Full Text: DOI
Chang, K. S.; Johnson, G. W.; Skoug, D. L. Necessary and sufficient conditions for membership in the Banach algebra S for certain classes of functions. (English) Zbl 0653.28004 Functional integration with emphasis on the Feynman integral, Proc. Workshop, Sherbrooke/Can. 1986, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 17, 153-171 (1988). Reviewer: P.Raboin MSC: 28C20 PDFBibTeX XML
Chang, K. S.; Johnson, G. W.; Skoug, D. L. Functions in the Banach algebras \(S(\nu)\). (English) Zbl 0895.46021 J. Korean Math. Soc. 24, No. 2, 151-158 (1987). Reviewer: L.L.Lee (MR 89g:46081) MSC: 46G12 28C20 60H05 PDFBibTeX XMLCite \textit{K. S. Chang} et al., J. Korean Math. Soc. 24, No. 2, 151--158 (1987; Zbl 0895.46021)
Johnson, G. W.; Skoug, D. L. A stochastic integration formula for two-parameter Wiener \(\times \,two\)- parameter Wiener space. (English) Zbl 0622.60055 SIAM J. Math. Anal. 18, 919-932 (1987). Reviewer: D.Nualart MSC: 60H05 28C20 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, SIAM J. Math. Anal. 18, 919--932 (1987; Zbl 0622.60055) Full Text: DOI
Chang, K. S.; Johnson, G. W.; Skoug, D. L. Functions in the Fresnel class. (English) Zbl 0615.60038 Proc. Am. Math. Soc. 100, 309-318 (1987). MSC: 60G15 81Q30 81S40 42B10 28C20 PDFBibTeX XMLCite \textit{K. S. Chang} et al., Proc. Am. Math. Soc. 100, 309--318 (1987; Zbl 0615.60038) Full Text: DOI
Chang, Kun Soo; Johnson, G. W.; Skoug, D. L. The Feynman integral of quadratic potentials depending on two time variables. (English) Zbl 0594.28013 Pac. J. Math. 122, 11-33 (1986). MSC: 28C20 46J15 81S40 PDFBibTeX XMLCite \textit{K. S. Chang} et al., Pac. J. Math. 122, 11--33 (1986; Zbl 0594.28013) Full Text: DOI
Johnson, G. W.; Skoug, D. L. Stability theorems for the Feynman integral. (English) Zbl 0617.58013 Rend. Circ. Mat. Palermo, II. Ser., Suppl. 8, 361-377 (1985). Reviewer: T.Ichinose MSC: 58D30 81S40 28C20 58J35 58Z05 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, Suppl. Rend. Circ. Mat. Palermo (2) 8, 361--377 (1985; Zbl 0617.58013)
Chang, Kun Soo; Johnson, G. W.; Skoug, D. L. Necessary and sufficient conditions for the Fresnel integrability of certain classes of functions. (English) Zbl 0599.46070 J. Korean Math. Soc. 21, 21-29 (1984). MSC: 46G12 28C20 PDFBibTeX XMLCite \textit{K. S. Chang} et al., J. Korean Math. Soc. 21, 21--29 (1984; Zbl 0599.46070)
Johnson, G. W.; Skoug, D. L. Notes on the Feynman integral. III: The Schrödinger equation. (English) Zbl 0459.28013 Pac. J. Math. 105, 321-358 (1983). MSC: 28C20 81S40 46G12 46F25 46J10 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, Pac. J. Math. 105, 321--358 (1983; Zbl 0459.28013) Full Text: DOI
Johnson, G. W.; Skoug, D. L. Notes on the Feynman integral. II. (English) Zbl 0459.28012 J. Funct. Anal. 41, 277-289 (1981). MSC: 28C20 81S40 46G12 46F25 46J10 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, J. Funct. Anal. 41, 277--289 (1981; Zbl 0459.28012) Full Text: DOI
Johnson, G. W.; Skoug, D. L. Notes on the Feynman integral. I. (English) Zbl 0459.28011 Pac. J. Math. 93, 313-324 (1981). MSC: 28C20 81S40 46G12 46F25 46J10 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, Pac. J. Math. 93, 313--324 (1981; Zbl 0459.28011) Full Text: DOI
Johnson, G. W.; Skoug, D. L. An \(L_p\) analytic Fourier-Feynman transform. (English) Zbl 0409.28007 Mich. Math. J. 26, 103-127 (1979). MSC: 28C20 44A15 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, Mich. Math. J. 26, 103--127 (1979; Zbl 0409.28007) Full Text: DOI
Johnson, G. W.; Skoug, D. L. Scale-invariant measurability in Wiener space. (English) Zbl 0387.60070 Pac. J. Math. 83, 157-176 (1979). MSC: 60H99 60J65 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, Pac. J. Math. 83, 157--176 (1979; Zbl 0387.60070) Full Text: DOI
Park, C.; Skoug, D. L. Distribution estimates of barrier-crossing probabilities of the Yeh- Wiener process. (English) Zbl 0394.60079 Pac. J. Math. 78, 455-466 (1978). MSC: 60J65 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. L. Skoug}, Pac. J. Math. 78, 455--466 (1978; Zbl 0394.60079) Full Text: DOI
Skoug, D. L. The change of scale and translation pathology in Yeh-Wiener space. (English) Zbl 0411.28019 Riv. Mat. Univ. Parma, IV. Ser. 3, 79-87 (1977). MSC: 28C20 PDFBibTeX XMLCite \textit{D. L. Skoug}, Riv. Mat. Univ. Parma, IV. Ser. 3, 79--87 (1977; Zbl 0411.28019)
Park, C.; Skoug, D. L. Wiener integrals over the sets bounded by sectionally continuous barriers. (English) Zbl 0372.60080 Pac. J. Math. 66, 523-534 (1976). MSC: 60H05 28C20 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. L. Skoug}, Pac. J. Math. 66, 523--534 (1976; Zbl 0372.60080) Full Text: DOI
Skoug, David Converses to measurability theorems for Yeh-Wiener space. (English) Zbl 0364.28011 Proc. Am. Math. Soc. 57, 304-310 (1976). MSC: 28C20 PDFBibTeX XMLCite \textit{D. Skoug}, Proc. Am. Math. Soc. 57, 304--310 (1976; Zbl 0364.28011) Full Text: DOI
Johnson, G. W.; Skoug, D. L. The Cameron-Storvick function space integral: An \(L(L_p,L_p)\) theory. (English) Zbl 0314.28010 Nagoya Math. J. 60, 93-137 (1976). MSC: 28C20 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, Nagoya Math. J. 60, 93--137 (1976; Zbl 0314.28010) Full Text: DOI
Johnson, G. W.; Skoug, D. L. The Cameron-Storvick function space integral: An \(L(L_p\), \(L_{p'})\) theory. (English) Zbl 0307.28011 Nagoya Math. J. 60, 93-137 (1976). MSC: 28C20 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, Nagoya Math. J. 60, 93--137 (1976; Zbl 0307.28011) Full Text: DOI
Johnson, G. W.; Skoug, D. L. Cameron and Storvick’s function space integral for a Banach space of functionals generated by finite-dimensional functionals. (English) Zbl 0309.28002 Ann. Mat. Pura Appl., IV. Ser. 104, 67-83 (1975). MSC: 28C20 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, Ann. Mat. Pura Appl. (4) 104, 67--83 (1975; Zbl 0309.28002) Full Text: DOI
Johnson, G. W.; Skoug, D. L. The Cameron-Storvick function space integral: The \(L_1\) theory. (English) Zbl 0308.28006 J. Math. Anal. Appl. 50, 647-667 (1975). MSC: 28C20 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, J. Math. Anal. Appl. 50, 647--667 (1975; Zbl 0308.28006) Full Text: DOI
Johnson, G. W.; Skoug, D. L. Cameron and Storvick’s function space integral for certain Banach spaces of functionals. (English) Zbl 0296.28008 J. Lond. Math. Soc., II. Ser. 9, 103-117 (1974). MSC: 28C20 46E30 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, J. Lond. Math. Soc., II. Ser. 9, 103--117 (1974; Zbl 0296.28008) Full Text: DOI
Johnson, G. W.; Skoug, D. L. A function space integral for a Banach space of functionals on Wiener space. (English) Zbl 0285.28013 Proc. Am. Math. Soc. 43, 141-148 (1974). MSC: 28C20 46B99 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, Proc. Am. Math. Soc. 43, 141--148 (1974; Zbl 0285.28013) Full Text: DOI
Skoug, D. L. Partial differential systems of generalized Wiener and Feynman integrals. (English) Zbl 0275.28011 Port. Math. 33, 27-33 (1974). MSC: 28C20 PDFBibTeX XMLCite \textit{D. L. Skoug}, Port. Math. 33, 27--33 (1974; Zbl 0275.28011) Full Text: EuDML
Johnson, G. W.; Skoug, D. L. A Banach algebra of Feynman integrable functionals with application to an integral equation formally equivalent to Schrödinger’s equation. (English) Zbl 0255.46041 J. Funct. Anal. 12, 129-152 (1973). MSC: 46J10 28C20 46G10 45A05 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, J. Funct. Anal. 12, 129--152 (1973; Zbl 0255.46041) Full Text: DOI
Johnson, G. W.; Skoug, D. L. Feynman integrals of non-factorable finite-dimensional functionals. (English) Zbl 0245.46064 Pac. J. Math. 45, 257-267 (1973). MSC: 46G99 28C20 PDFBibTeX XMLCite \textit{G. W. Johnson} and \textit{D. L. Skoug}, Pac. J. Math. 45, 257--267 (1973; Zbl 0245.46064) Full Text: DOI