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The Transformation Theorem on Analogue of Wiener Space

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2007, v.14 no.4, pp.317-333
Im, Man-Kyu
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Abstract

In 2002, the author and professor Ryu introduced the concept of analogue of Wiener measure. In this paper, we prove the existence theorem of Fourier-Feynman transform on analogue of Wiener measure in <TEX>$L_2-norm$</TEX> sense.

keywords
Analogue of Wiener measure, Fourier-Feynman transform

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics