Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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GENERALIZED FIRST VARIATION AND GENERALIZED SEQUENTIAL FOURIER-FEYNMAN TRANSFORM

  • Byoung Soo Kim (School of Natural Sciences, Seoul National University of Science and Technology)
  • Received : 2023.11.10
  • Accepted : 2023.12.19
  • Published : 2023.12.30
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Abstract

This paper is a further development of the recent results by the author and coworker on the generalized sequential Fourier-Feynman transform for functionals in a Banach algebra Ŝ and some related functionals. We establish existence of the generalized first variation of these functionals. Also we investigate various relationships between the generalized sequential Fourier-Feynman transform, the generalized sequential convolution product and the generalized first variation of the functionals.

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References

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