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http://dx.doi.org/10.11568/kjm.2018.26.3.387

SHIFTING AND MODULATION FOR THE CONVOLUTION PRODUCT OF FUNCTIONALS IN A GENERALIZED FRESNEL CLASS  

Kim, Byoung Soo (School of Liberal Arts Seoul National University of Science and Technology)
Park, Yeon Hee (Department of Mathematics Education Chonbuk National University)
Publication Information
Korean Journal of Mathematics / v.26, no.3, 2018 , pp. 387-403 More about this Journal
Abstract
Shifting, scaling and modulation proprerties for the convolution product of the Fourier-Feynman transform of functionals in a generalized Fresnel class ${\mathcal{F}}_{A1,A2}$ are given. These properties help us to obtain convolution product of new functionals from the convolution product of old functionals which we know their convolution product.
Keywords
analytic Feynman integral; Fourier-Feynman transform; convolution product; generalized Fresnel class; time shifting; frequency shifting; modulation;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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