Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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SHIFTING AND MODULATION FOR FOURIER-FEYNMAN TRANSFORM OF FUNCTIONALS IN A GENERALIZED FRESNEL CLASS

  • Kim, Byoung Soo (School of Liberal Arts Seoul National University of Science and Technology)
  • Received : 2017.05.18
  • Accepted : 2017.07.04
  • Published : 2017.09.30
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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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References

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  1. SHIFTING AND MODULATION FOR THE CONVOLUTION PRODUCT OF FUNCTIONALS IN A GENERALIZED FRESNEL CLASS vol.26, pp.3, 2018, https://doi.org/10.11568/kjm.2018.26.3.387