Korean J. Math. Vol. 26 No. 3 (2018) pp.387-403
DOI: https://doi.org/10.11568/kjm.2018.26.3.387

Shifting and modulation for the convolution product of functionals in a generalized Fresnel class

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Published: Sep 30, 2018
Keywords:
analytic Feynman integral, Fourier-Feynman transform, convolution,
Mathematics Subject Classification:
28C20, 60J25, 60J65.

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Byoung Soo Kim
School of Liberal Arts Seoul National University of Science and Technology Seoul 01811, Korea
Yeon Hee Park
Department of Mathematics Education Chonbuk National University Jeonju 54896, Korea

Abstract

Shifting, scaling and modulation proprerties for the convolution product of the Fourier-Feynman transform of functionals in a generalized Fresnel class ${\mathcal F}_{A_1,A_2}$ 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.


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Supporting Agencies

This study was supported by the Research Program funded by the Seoul National University of Science and Technology.

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