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http://dx.doi.org/10.7858/eamj.2013.031

FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION OF FOURIER-TYPE FUNCTIONALS ON WIENER SPACE  

Kim, Byoung Soo (School of Liberal Arts, Seoul National University of Science and Technology)
Publication Information
East Asian mathematical journal / v.29, no.5, 2013 , pp. 467-479 More about this Journal
Abstract
We develop a Fourier-Feynman theory for Fourier-type functionals ${\Delta}^kF$ and $\widehat{{\Delta}^kF}$ on Wiener space. We show that Fourier-Feynman transform and convolution of Fourier-type functionals exist. We also show that the Fourier-Feynman transform of the convolution product of Fourier-type functionals is a product of Fourier-Feynman transforms of each functionals.
Keywords
Wiener space; Feynman integral; Fourier-Feynman transform; convolution; Fourier-type functional;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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