abstract Wiener space;
Lp analytic Fourier–Feynman transform;
convolution;
Fresnel class;
analytic Feynman integral;
first variation;
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摘要:
We examine several interesting relationships and expressions involving Fourier-Feynman transform, convolution product and first variation for functionals in the Fresnel class F(B) of an abstract Wiener space B. We also prove a translation theorem and Parseval's identity for the analytic Feynman integral.
机构:
Department of Mathematics and Statistics, Miami University, 45056 Oxford, OHDepartment of Mathematics and Statistics, Miami University, 45056 Oxford, OH
Park C.
Skoug D.
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Department of Mathematics and Statistics, University of Nebraska-Lincoln, 68588 Lincoln, NEDepartment of Mathematics and Statistics, Miami University, 45056 Oxford, OH
Skoug D.
Storvick D.
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School of Mathematics, University of Minnesota, 55455 Minneapolis, MNDepartment of Mathematics and Statistics, Miami University, 45056 Oxford, OH