Displaying similar documents to “Bochner-Hecke Theorems for the Weinstein Transform and Application”

On Y. Nievergelt's Inversion Formula for the Radon Transform

Ournycheva, E., Rubin, B. (2010)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification 2010: 42C40, 44A12. In 1986 Y. Nievergelt suggested a simple formula which allows to reconstruct a continuous compactly supported function on the 2-plane from its Radon transform. This formula falls into the scope of the classical convolution-backprojection method. We show that elementary tools of fractional calculus can be used to obtain more general inversion formulas for the k-plane Radon transform of continuous and L^p functions on R^n...

On Hankel Transform of Generalized Mathieu Series

Tomovski, Živorad (2009)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20 By using integral representations for several Mathieu type series, a number of integral transforms of Hankel type are derived here for general families of Mathieu type series. These results generalize the corresponding ones on the Fourier transforms of Mathieu type series, obtained recently by Elezovic et al. [4], Tomovski [19] and Tomovski and Vu Kim Tuan [20].