Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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FOURIER-YEH-FEYNMAN TRANSFORM AND CONVOLUTION ON YEH-WIENER SPACE

  • Kim, Byoung Soo (School of Liberal Arts, Seoul National University of Technology) ;
  • Yang, Young Kyun (School of Liberal Arts, Seoul National University of Technology)
  • Received : 2008.07.03
  • Published : 2008.09.30
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Abstract

We define Fourier-Yeh-Feynman transform and convolution product on the Yeh-Wiener space, and establish the existence of Fourier-Yeh-Feynman transform and convolution product for functionals in a Banach algebra $\mathcal{S}(Q)$. Also we obtain Parseval's relation for those functionals.

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