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In this paper, we establish the generalized Cameron-Storvick type theorem on function space. We then give relationships involving the generalized Cameron-Storvick type theorem, modified generalized integral transform and modified convolution product. A motivation of studying the generalized Cameron-Storvick type theorem is to generalize formulas and results with respect to the modified generalized integral transform on function space. From the some theories and formulas in the functional analysis, we can obtain some formulas with respect to the translation theorem of exponential functionals.
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참고문헌 (24)
참고문헌 신청
R. H. Cameron / 1944 / Transformations of Wiener integrals under transla-tions / Ann. of Math 45:386~396
R. H. Cameron / 1947 / The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals / Ann. of Math 48(2):385~392
S. J. Chang / Translation theorem for function space integral associated with Gaussian paths and applications / Bull. Iranian Math. Soc
S. J. Chang / 2007 / Evaluation formulas for conditional function space integrals / I, Stoch. Anal. Appl. 25(1):141~168
S. J. Chang / 1996 / Conditional function space integrals with applications / Rocky Mountain J. Math 26(1):37~62
R. H. Cameron / 1947 / The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals / Ann. of Math 48(2):385~392
S. J. Chang / Translation theorem for function space integral associated with Gaussian paths and applications / Bull. Iranian Math. Soc
S. J. Chang / 2007 / Evaluation formulas for conditional function space integrals / I, Stoch. Anal. Appl. 25(1):141~168
S. J. Chang / 1996 / Conditional function space integrals with applications / Rocky Mountain J. Math 26(1):37~62
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