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- W2000640493 abstract "In this paper we first investigate the existence of the generalized Fourier-Feynman transform of the functional F given by <TEX>$$F(x)={hat{nu}}((e_1,x)^{sim},{ldots},(e_n,x)^{sim})$$</TEX>, where <TEX>$(e,x)^{sim}$</TEX> denotes the Paley-Wiener-Zygmund stochastic integral with <TEX>$x$</TEX> in a very general function space <TEX>$C_{a,b}[0,T]$</TEX> and <TEX>$hat{nu}$</TEX> is the Fourier transform of complex measure <TEX>${nu}$</TEX> on <TEX>$B({mathbb{R}}^n)$</TEX> with finite total variation. We then define two sequential transforms. Finally, we establish that the one is to identify the generalized Fourier-Feynman transform and the another transform acts like an inverse generalized Fourier-Feynman transform." @default.
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- W2000640493 date "2012-09-01" @default.
- W2000640493 modified "2023-09-27" @default.
- W2000640493 title "GENERALIZED FOURIER-FEYNMAN TRANSFORM AND SEQUENTIAL TRANSFORMS ON FUNCTION SPACE" @default.
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- W2000640493 doi "https://doi.org/10.4134/jkms.2012.49.5.1065" @default.
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