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

Byoung Soo Kim

doi:10.11568/kjm.2017.25.3.335

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

Byoung Soo Kim

School of Natural Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	335-347
Number of pages	13
Journal	한국수학논문집
Volume	25
Issue number	3
DOIs	https://doi.org/10.11568/kjm.2017.25.3.335
State	Published - Sep 2017

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10.11568/kjm.2017.25.3.335

Cite this

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abstract = "Time shifting and frequency shifting proprerties for the Fourier-Feynman transform of functionals in a generalized Fresnel class \$\{\textbackslash{}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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