Inversion of the Kipriyanov–Radon transform via fractional derivatives in a one-dimensional parameter
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This paper considers the Kipriyanov–Radon transform constructed as a special Radon transform adopted for dealing with singular Bessel differential operators of the corresponding indices acting on a part of the variables. The authors obtain inversion formulas generalizing the classical formulas for the Radon transform of axially-symmetric functions and relating to the integro-differentiation of fractional order in a one-dimensional parameter.
KeywordsRadon Fractional Order Fractional Derivative Inversion Formula Integral Geometry
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