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Original Articles

Evaluation Formulas for Conditional Function Space Integrals I

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Pages 141-168 | Published online: 15 Dec 2006

REFERENCES

  • Chang , K.S. , and Chang , J.S. 1984 . Evaluation of some conditional Wiener integrals . Bull Korean Math. Soc. 21 : 99 – 106 .
  • Chang , S.J. , Choi , J.G. , and Skoug , D. 2003 . Integration by parts formulas involving generalized Fourier-Feynman transforms on function space . Trans. Amer. Math. Soc. 355 : 2925 – 2948 . [CSA] [CROSSREF]
  • Chang , S.J. , and Chung , D.M. 1996 . Conditional function space integrals with applications . Rocky Mountain J. of Math. 26 : 37 – 62 . [CSA]
  • Chang , S.J. , and Skoug , D. 2003 . Generalized Fourier-Feynman transforms and a first variation on function space . Integral Transforms and Special Functions 14 : 375 – 393 . [CSA] [CROSSREF]
  • Chung , D.M. , and Kang , S.J. 1988 . Conditional Wiener integrals and an integral equation . J. Korean Math. Soc. 25 : 37 – 52 . [CSA]
  • Chung , D.M. , and Kang , S.J. 1989 . Evaluation formulas for conditional abstract Wiener integrals . Stochastic Analysis and Applications 7 : 125 – 144 . [CSA]
  • Chung , D.M. , and Kang , S.J. 1990 . Evaluation formulas for conditional abstract Wiener integrals II . J. Korean Math. Soc. 27 : 137 – 144 . [CSA]
  • Chung , D.M. , and Kang , S.J. 1989 . Evaluation of some conditional abstract Wiener integrals . Bull Korean Soc. 26 : 151 – 158 . [CSA]
  • Davies , I.M. , and Truman , A. 1982 . Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulas . J. Math. Phys. 23 : 2059 – 2070 . [CSA] [CROSSREF]
  • Davies , I.M. , and Truman , A. 1983 . On the Laplace asymptotic expansion of conditional Wiener integrals and the Bender-Wu formula for 2N-anharmonic oscillators . J. Math. Phys. 24 : 255 – 266 . [CSA] [CROSSREF]
  • Davies , I.M. , and Truman , A. 1984 . Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulae for Hamiltonians on L 2 (ℝ n ) . J. Phys. A 17 : 2773 – 2789 . [CSA] [CROSSREF]
  • Elworthy , D. , and Truman , A. 1984 . Feynman maps, Cameron-Martin formulae and anharmonic oscillators . Ann. Inst. H. Poincare Phys. Theor. 41 : 115 – 142 . [CSA]
  • Kuo , H.H. 1975 . Gaussian Measure in Banach Spaces . Lecture Notes in Mathematics 463 . Springer , Berlin .
  • Park , C. , and Skoug , D. 1988 . A simple formula for conditional Wiener integrals with applications . Pacific J. Math. 135 : 381 – 394 . [CSA]
  • Schilder , M. 1966 . Some asymptotic formulas for Wiener integrals . Trans. Amer. Math. Soc. 125 : 63 – 85 . [CSA] [CROSSREF]
  • Yeh , J. 1974 . Inversion of conditional Wiener integrals . Pacific J. Math. 59 : 631 – 640 . [CSA]
  • Yeh , J. 1973 . Stochastic Processes and the Wiener Integral . Marcel Dekker, Inc. , New York .

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