GENERALIZED FIRST VARIATION AND GENERALIZED SEQUENTIAL FOURIER-FEYNMAN TRANSFORM

Byoung Soo Kim

doi:10.11568/kjm.2023.31.4.521

GENERALIZED FIRST VARIATION AND GENERALIZED SEQUENTIAL FOURIER-FEYNMAN TRANSFORM

Byoung Soo Kim

School of Natural Sciences

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	521-536
Number of pages	16
Journal	Korean Journal of Mathematics
Volume	31
Issue number	4
DOIs	https://doi.org/10.11568/kjm.2023.31.4.521
State	Published - 30 Dec 2023

Keywords

Banach algebra Ŝ
generalized first variation
generalized sequential convolution product
generalized sequential Feynman integral
generalized sequential Fourier-Feynman transform

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10.11568/kjm.2023.31.4.521

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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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N2 - 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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KW - Banach algebra Ŝ

KW - generalized first variation

KW - generalized sequential convolution product

KW - generalized sequential Feynman integral

KW - generalized sequential Fourier-Feynman transform

UR - https://www.scopus.com/pages/publications/85181726487

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IS - 4

ER -

GENERALIZED FIRST VARIATION AND GENERALIZED SEQUENTIAL FOURIER-FEYNMAN TRANSFORM

Abstract

Keywords

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