Czechoslovak Mathematical Journal, Vol. 54, No. 2, pp. 315-336, 2004

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

M. Belhadj, J. J. Betancor

Departamento de Analisis Matematico, Universidad de La Laguna, La Laguna 38271, Tenerife Islas Canarias, Espana, e-mail: jbetanco@ull.es

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

Keywords: Beurling distributions, Hankel transformation, convolution

Classification (MSC 2000): 46F12


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