Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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CHANGE OF SCALE FORMULAS FOR FUNCTION SPACE INTEGRALS RELATED WITH FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION ON Ca,b[0, T]

  • Kim, Bong Jin (Department of Mathematics Daejin University) ;
  • Kim, Byoung Soo (School of Liberal Arts Seoul National University of Science and Technology) ;
  • Yoo, Il (Department of Mathematics Yonsei University)
  • Received : 2014.01.13
  • Accepted : 2014.01.19
  • Published : 2015.03.30
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Abstract

We express generalized Fourier-Feynman transform and convolution product of functionals in a Banach algebra $\mathcal{S}(L^2_{a,b}[0,T])$ as limits of function space integrals on $C_{a,b}[0,T]$. Moreover we obtain change of scale formulas for function space integrals related with generalized Fourier-Feynman transform and convolution product of these functionals.

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References

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