Analytic Fourier-Feynman transforms and convolution
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- by Timothy Huffman, Chull Park and David Skoug PDF
- Trans. Amer. Math. Soc. 347 (1995), 661-673 Request permission
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.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 661-673
- MSC: Primary 28C20
- DOI: https://doi.org/10.1090/S0002-9947-1995-1242088-7
- MathSciNet review: 1242088