• 제목/요약/키워드: generalized Fresnel calss

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SHIFTING AND MODULATION FOR FOURIER-FEYNMAN TRANSFORM OF FUNCTIONALS IN A GENERALIZED FRESNEL CLASS

  • Kim, Byoung Soo
    • Korean Journal of Mathematics
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    • 제25권3호
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    • pp.335-347
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    • 2017
  • 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.