Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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GENERALIZED SEQUENTIAL CONVOLUTION PRODUCT FOR THE GENERALIZED SEQUENTIAL FOURIER-FEYNMAN TRANSFORM

  • Kim, Byoung Soo (School of Liberal Arts, Seoul National University of Science and Technology) ;
  • Yoo, Il (Department of Mathematics, Yonsei University)
  • Received : 2020.12.28
  • Accepted : 2021.05.24
  • Published : 2021.06.30
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Abstract

This paper is a further development of the recent results by the authors on the generalized sequential Fourier-Feynman transform for functionals in a Banach algebra Ŝ and some related functionals. We investigate various relationships between the generalized sequential Fourier-Feynman transform and the generalized sequential convolution product of functionals. Parseval's relation for the generalized sequential Fourier-Feynman transform is also given.

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Acknowledgement

This study was supported by the Research Program funded by the Seoul National University of Science and Technology.

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