East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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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)
  • Received : 2013.01.24
  • Accepted : 2013.08.14
  • Published : 2013.11.30
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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.

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References

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