Korean J. Math. Vol. 25 No. 3 (2017) pp.335-347
DOI: https://doi.org/10.11568/kjm.2017.25.3.335

Shifting and modulation for Fourier-Feynman transform of functionals in a generalized Fresnel class

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Published: Sep 30, 2017
Keywords:
analytic Feynman integral, Fourier-Feynman transform, generalized Fresnel calss, shifting, modulation
Mathematics Subject Classification:
28C20, 60J25, 60J65

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Byoung Soo Kim
School of Liberal Arts Seoul National University of Science and Technology

Abstract

Time shifting and frequency shifting proprerties for the Fourier-Feynman transform of functionals in a generalized Fresnel class ${\mathcal F}_{A_1,A_2}$ are given. We discuss scaling and modulation proprerties for the Fourier-Feynman transform. These properties help us to obtain Fourier-Feynman transforms of new functionals from the Fourier-Feynman transforms of old functionals which we know their Fourier-Feynman transforms.


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Supporting Agencies

Seoul National University of Science and Technology

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