Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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SHIFTING AND MODULATION FOR THE CONVOLUTION PRODUCT OF FUNCTIONALS IN A GENERALIZED FRESNEL CLASS

  • Kim, Byoung Soo (School of Liberal Arts Seoul National University of Science and Technology) ;
  • Park, Yeon Hee (Department of Mathematics Education Chonbuk National University)
  • Received : 2018.03.06
  • Accepted : 2018.07.20
  • Published : 2018.09.30
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Abstract

Shifting, scaling and modulation proprerties for the convolution product of the Fourier-Feynman transform of functionals in a generalized Fresnel class ${\mathcal{F}}_{A1,A2}$ are given. These properties help us to obtain convolution product of new functionals from the convolution product of old functionals which we know their convolution product.

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Acknowledgement

Supported by : Seoul National University of Science and Technology

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