Displaying similar documents to “On the Mehler-Fock integral transform in Lp-spaces.”

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].

A multiplier theorem for the Hankel transform.

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)).