Harmonic Analysis and Applications

June 4-8, 2018


"Convolution Theorem for Fractional Integral Transforms"

Zayed, Ahmed

Convolution theorems for some integral transforms, such as Fourier, Laplace, and Hankel transforms, are well known and have been studied extensively. In recent years fractional integral transforms, such as fractional Fourier, Laplace, Hankel, wavelets, and Radon transforms have been developed and they have shown promising results in many engineering and physical applications. However, convolution theorems for these transforms have not been fully developed. The purpose of this talk is to introduce convolution theorems for some fractional transforms in one and several variables and derive analogues of Poisson summation formula.

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