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Some relationships for the double modified generalized analytic function space Fourier–Feynman transform and its applications
Abstract:In this paper we first introduce the concept of a double modified analytic function space Fourier–Feynman transform using the double modified analytic function space integral. We then proceed to establish the existence of the modified analytic function space Fourier–Feynman transform for all functionals in the Banach algebra. Finally we use this double modified analytic function space transform to explain various physical phenomenon.
Keywords:Generalized Brownian motion process  double modified analytic function space Fourier–  Feynman transform  Fubini theorem  diffusion equation  Feynman–  Kac formula  Schrö  dinger equation  Banach algebra  28C20  60J65
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