Characterization of Hankel transformable generalized functions.
Betancor, J.J. (1991)
International Journal of Mathematics and Mathematical Sciences
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Betancor, J.J. (1991)
International Journal of Mathematics and Mathematical Sciences
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Schmeelk, John (1994)
International Journal of Mathematics and Mathematical Sciences
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Krzysztof Stempak (1997)
Extracta Mathematicae
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Linares Linares, M., Mendez Pérez, J.M.R. (1992)
International Journal of Mathematics and Mathematical Sciences
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Betancor, Jorge J. (1999)
Publications de l'Institut Mathématique. Nouvelle Série
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Singh, O.P., Pathak, Ram S. (1985)
International Journal of Mathematics and Mathematical Sciences
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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 of Beurling type distributions on having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space . We also establish Paley Wiener type theorems for Hankel transformations of distributions in .
Jorge J. Betancor (1989)
Commentationes Mathematicae Universitatis Carolinae
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Jorge Betancor, Lourdes Rodríguez-Mesa (1996)
Studia Mathematica
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We study the Hankel transformation and Hankel convolution on spaces of distributions with exponential growth.
Krzysztof Stempak, Walter Trebels (1997)
Studia Mathematica
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Connections between Hankel transforms of different order for -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.