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Entire elliptic Hankel convolution equations

M. Belhadj; J. J. Betancor — 2003

Bollettino dell'Unione Matematica Italiana

In this paper we characterize the entire elliptic Hankel convolutors on tempered distributions in terms of the growth of their Hankel transforms.

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

M. Belhadj; Jorge J. Betancor — 2004

Czechoslovak Mathematical Journal

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

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