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초록· 키워드
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iener integrals, as integral transforms, of possibly unbounded
functions over Wiener paths in abstract Wiener space. In fact, we derive
the change of scale formula for the product of the functions in a Banach
algebra which is equivalent to both the Fresnel class and the space of mea-
sures of bounded variation over a real separable Hilbert space, and the
Lp-type cylinder functions over Wiener paths in abstract Wiener space. As an application of the result, we obtain a change of scale formula for
the conditional analytic Fourier-Feynman transform of the product of the functions.
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참고문헌 (15)
참고문헌 신청
/ / Conditional analytic Feynman integral over product space of Wiener pathsin abstract Wiener space to appear in Rocky Mount
/ 1947 / The behavior of measure and measurability underchange of scale in Wiener space CHANGE OF SCALE FORMULAS FOR CONDITIONAL WIENER INTEGRALS 109
/ 1954 / The translation pathology of Wiener space
/ 1973 / The law of the iterated logarithm for Brownian motion in aBanach space
/ 1975 / Gaussian measures in Banach spaces Lecture Notes in Mathematics 463
/ 1947 / The behavior of measure and measurability underchange of scale in Wiener space CHANGE OF SCALE FORMULAS FOR CONDITIONAL WIENER INTEGRALS 109
/ 1954 / The translation pathology of Wiener space
/ 1973 / The law of the iterated logarithm for Brownian motion in aBanach space
/ 1975 / Gaussian measures in Banach spaces Lecture Notes in Mathematics 463
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