On the Mehler-Fock integral transform in L-spaces.
Semyon B. Yakubovich (1993)
Extracta Mathematicae
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Semyon B. Yakubovich (1993)
Extracta Mathematicae
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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].
S. K. Kulshreshtha (1965)
Collectanea Mathematica
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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...
Golas, P.C. (1968)
Portugaliae mathematica
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Roop Narain Kesarwani (1967)
Compositio Mathematica
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B. S. Tavathia (1970)
Compositio Mathematica
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Rafal Kapelko (1998)
Revista Matemática Complutense
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Riesz function technique is used to prove a multiplier theorem for the Hankel transform, analogous to the classical Hörmander-Mihlin multiplier theorem (Hörmander (1960)).