GENERALIZED FIRST VARIATION AND GENERALIZED SEQUENTIAL FOURIER-FEYNMAN TRANSFORM

被引：1

作者：

Kim, Byoung Soo ^{[1
]}

机构：

[1] Seoul Natl Univ Sci & Technol, Sch Nat Sci, Seoul 01811, South Korea

来源：

KOREAN JOURNAL OF MATHEMATICS | 2023年 / 31卷 / 04期

关键词：

generalized sequential Feynman integral; generalized sequential Fourier-Feynman transform; generalized sequential convolution product; generalized first variation; Banach algebra <SIC>S; CONVOLUTION PRODUCT; FUNCTIONALS;

D O I：

10.11568/kjm.2023.31.4.521

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a further development of the recent results by the author and coworker on the generalized sequential Fourier-Feynman transform for func-tionals in a Banach algebra S 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.

引用

页码：521 / 536

页数：16

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