GENERALIZED SEQUENTIAL CONVOLUTION PRODUCT FOR THE GENERALIZED SEQUENTIAL FOURIER-FEYNMAN TRANSFORM

Byoung Soo Kim; Il Yoo

doi:10.11568/kjm.2021.29.2.321

GENERALIZED SEQUENTIAL CONVOLUTION PRODUCT FOR THE GENERALIZED SEQUENTIAL FOURIER-FEYNMAN TRANSFORM

Byoung Soo Kim
, Il Yoo

School of Natural Sciences

Yonsei University Mirae Campus

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

2 Scopus citations

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.

Original language	English
Pages (from-to)	321-332
Number of pages	12
Journal	Korean Journal of Mathematics
Volume	29
Issue number	2
DOIs	https://doi.org/10.11568/kjm.2021.29.2.321
State	Published - 30 Jun 2021

Keywords

Fourier-Feynman transform
generalized first variation
generalized sequential
generalized sequential convolution product
generalized sequential Feynman integral
Parseval’s relation

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10.11568/kjm.2021.29.2.321

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title = "GENERALIZED SEQUENTIAL CONVOLUTION PRODUCT FOR THE GENERALIZED SEQUENTIAL FOURIER-FEYNMAN TRANSFORM",

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{\textquoteright}s relation for the generalized sequential Fourier-Feynman transform is also given.",

keywords = "Fourier-Feynman transform, generalized first variation, generalized sequential, generalized sequential convolution product, generalized sequential Feynman integral, Parseval{\textquoteright}s relation",

author = "Kim, \{Byoung Soo\} and Il Yoo",

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year = "2021",

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AU - Yoo, Il

N1 - Publisher Copyright: © The Kangwon-Kyungki Mathematical Society, 2021.

PY - 2021/6/30

Y1 - 2021/6/30

N2 - 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.

AB - 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.

KW - Fourier-Feynman transform

KW - generalized first variation

KW - generalized sequential

KW - generalized sequential convolution product

KW - generalized sequential Feynman integral

KW - Parseval’s relation

UR - https://www.scopus.com/pages/publications/85174253159

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DO - 10.11568/kjm.2021.29.2.321

M3 - Article

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VL - 29

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EP - 332

JO - Korean Journal of Mathematics

JF - Korean Journal of Mathematics

IS - 2

ER -

GENERALIZED SEQUENTIAL CONVOLUTION PRODUCT FOR THE GENERALIZED SEQUENTIAL FOURIER-FEYNMAN TRANSFORM

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Keywords

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