A CHANGE OF SCALE FORMULA FOR CONDITIONAL WIENER INTEGRALS ON CLASSICAL WIENER SPACE |
Yoo, Il
(DEPARTMENT OF MATHEMATICS YONSEI UNIVERSITY)
Chang, Kun-Soo (DEPARTMENT OF MATHEMATICS YONSEI UNIVERSITY) Cho, Dong-Hyun (DEPARTMENT OF MATHEMATICS KYONGGI UNIVERSITY) Kim, Byoung-Soo (SCHOOL OS LIBERAL ARTS SEOUL NATIONAL UNIVERSITY OF TECHNOLOGY) Song, Teuk-Seob (DEPARTMENT OF COMPUTER ENGINEERING MOKWON UNIVERSITY) |
1 | I. Yoo and D. L. Skoug, A change of scale formula for Wiener integrals on abstract Wiener spaces II, J. Korean Math. Soc. 31 (1994), no. 1, 115-129 |
2 | I. Yoo, T. S. Song, B. S. Kim, and K. S. Chang, A change of scale formula for Wiener integrals of unbounded functions, Rocky Mountain J. Math. 34 (2004), no. 1, 371-389 DOI ScienceOn |
3 | I. Yoo and G. J. Yoon, Change of scale formulas for Yeh-Wiener integrals, Commun. Korean Math. Soc. 6 (1991), no. 1, 19-26 |
4 | R. H. Cameron and D. A. Storvick, Some Banach algebras of analytic Feynman integrable functionals, Lecture Notes in Math. 798, Springer-Verlag, New York (1980), 18-67 |
5 | R. H. Cameron and D. A. Storvick, Relationships between the Wiener integral and the analytic Feynman integral, Rend. Circ. Mat. Palermo (2) Suppl. 17 (1987), 117-133 |
6 | R. H. Cameron and D. A. Storvick, Change of scale formulas for Wiener integral, Rend. Circ. Mat. Palermo (2) Suppl. 17 (1987), 105-115 |
7 | R. H. Cameron and W. T. Martin, The behavior of measure and measurability under change of scale in Wiener space, Bull. Amer. Math. Soc. 53 (1947), 130-137 DOI |
8 | K. S. Chang, G. W. Johnson, and D. L. Skoug, Functions in the Fresnel class, Proc. Amer. Math. Soc. 100 (1987), no. 2, 309-318 DOI ScienceOn |
9 | D. M. Chung and D. L. Skoug, Conditional analytic Feynman integrals and a related Schrodinger integral equation, SIAM J. Math. Anal. 20 (1989), no. 4, 950-965 DOI |
10 | R. H. Cameron, The translation pathology of Wiener space, Duke Math. J. 21 (1954), 623-627 DOI |
11 | C. Park and D. L. Skoug, Conditional Wiener integrals II, Pacific J. Math. 167 (1995), no. 2, 293-312 DOI |
12 | C. Park and D. L. Skoug, A simple formula for conditional Wiener integrals with applications, Pacific J. Math. 135 (1988), no. 2, 381-394 DOI |
13 | I. Yoo and D. L. Skoug, A change of scale formula for Wiener integrals on abstract Wiener spaces, Internat. J. Math. Math. Sci. 17 (1994), no. 2, 239-247 DOI ScienceOn |