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CONDITIONAL GENERALIZED FOURIER-FEYNMAN TRANSFORM AND CONDITIONAL CONVOLUTION PRODUCT ON A BANACH ALGEBRA

  • Published : 2004.02.01

Abstract

In [10], Chang and Skoug used a generalized Brownian motion process to define a generalized analytic Feynman integral and a generalized analytic Fourier-Feynman transform. In this paper we define the conditional generalized Fourier-Feynman transform and conditional generalized convolution product on function space. We then establish some relationships between the conditional generalized Fourier-Feynman transform and conditional generalized convolution product for functionals on function space that belonging to a Banach algebra.

Keywords

generalized Brownian motion process;generalized analytic Feynman integral;conditional generalized analytic Fourier-Feynman transform;conditional generalized convolution product

References

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  1. Some relationships for the double modified generalized analytic function space Fourier-Feynman transform and its applications vol.290, pp.4, 2017, https://doi.org/10.1002/mana.201500369
  2. CONDITIONAL GENERALIZED FOURIER-FEYNMAN TRANSFORM OF FUNCTIONALS IN A FRESNEL TYPE CLASS vol.26, pp.2, 2011, https://doi.org/10.4134/CKMS.2011.26.2.273
  3. A new aspect of the analytic Fourier-Feynman transform and its applications vol.26, pp.1, 2015, https://doi.org/10.1080/10652469.2014.975128
  4. Brown–York mass and positive scalar curvature II: Besse’s conjecture and related problems pp.1572-9060, 2019, https://doi.org/10.1007/s10455-019-09653-0