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

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

Byoung Soo Kim

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.

Keywords


analytic Feynman integral, Fourier-Feynman transform, generalized Fresnel calss, shifting, modulation

Subject classification

28C20; 60J25; 60J65

Sponsor(s)

Seoul National University of Science and Technology

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