TY - JOUR
T1 - GENERALIZED SEQUENTIAL CONVOLUTION PRODUCT FOR THE GENERALIZED SEQUENTIAL FOURIER-FEYNMAN TRANSFORM
AU - Kim, Byoung Soo
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 - http://www.scopus.com/inward/record.url?scp=85174253159&partnerID=8YFLogxK
U2 - 10.11568/kjm.2021.29.2.321
DO - 10.11568/kjm.2021.29.2.321
M3 - Article
AN - SCOPUS:85174253159
SN - 1976-8605
VL - 29
SP - 321
EP - 332
JO - Korean Journal of Mathematics
JF - Korean Journal of Mathematics
IS - 2
ER -