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http://dx.doi.org/10.11568/kjm.2021.29.2.321

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)
Publication Information
Korean Journal of Mathematics / v.29, no.2, 2021 , pp. 321-332 More about this Journal
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.
Keywords
generalized sequential Feynman integral; generalized sequential; Fourier-Feynman transform; generalized sequential convolution product; generalized first variation; Parseval's relation;
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