Displaying similar documents to “New characterizations for Hankel transformable spaces of Zemanian.”

On Hankel transform and Hankel convolution of Beurling type distributions having upper bounded support

M. Belhadj, Jorge J. Betancor (2004)

Czechoslovak Mathematical Journal

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In this paper we study Beurling type distributions in the Hankel setting. We consider the space ( w ) ' of Beurling type distributions on ( 0 , ) having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space ( w ) ' . We also establish Paley Wiener type theorems for Hankel transformations of distributions in ( w ) ' .

Hankel multipliers and transplantation operators

Krzysztof Stempak, Walter Trebels (1997)

Studia Mathematica

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Connections between Hankel transforms of different order for L p -functions are examined. Well known are the results of Guy [Guy] and Schindler [Sch]. Further relations result from projection formulae for Bessel functions of different order. Consequences for Hankel multipliers are exhibited and implications for radial Fourier multipliers on Euclidean spaces of different dimensions indicated.