Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Analytic Fourier-Feynman transforms and convolution

Authors: Timothy Huffman, Chull Park and David Skoug
Journal: Trans. Amer. Math. Soc. 347 (1995), 661-673
MSC: Primary 28C20
MathSciNet review: 1242088
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Abstract: In this paper we develop an $ {L_p}$ Fourier-Feynman theory for a class of functionals on Wiener space of the form $ F(x) = f(\int_0^T {{\alpha _1}dx, \ldots ,\int_0^T {{\alpha _n}dx)} } $. We then define a convolution product for functionals on Wiener space and show that the Fourier-Feynman transform of the convolution product is a product of Fourier-Feynman transforms.

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Keywords: Wiener measure, Fourier-Feynman transform, convolution
Article copyright: © Copyright 1995 American Mathematical Society