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On Hankel Transform and Hankel Convolution of Beurling Type Distributions Having Upper Bounded Support

Authors:	M Belhadj J J Betancor

Institution:	(1) Departamento de Análisis Matemático, Universidad de La Laguna, 38271 Tenerife Islas Canarias, España

Abstract:	In this paper we study Beurling type distributions in the Hankel setting. We consider the space ${\mathcal{E}}\left( w \right)^\prime$ of Beurling type distributions on (0, ) having upper bounded support. The Hankel transform and the Hankel convolution are studied on the space ${\mathcal{E}}\left( w \right)^\prime$ . We also establish Paley Wiener type theorems for Hankel transformations of distributions in ${\mathcal{E}}\left( w \right)^\prime$ .

Keywords:	Beurling distributions Hankel transformation convolution
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