Hankel complementary integral transformations of arbitrary order.

Linares Linares, M.; Mendez Pérez, J.M.R.

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A generalized Hankel transformation

Jorge J. Betancor (1989)

Commentationes Mathematicae Universitatis Carolinae

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Characterization of Hankel transformable generalized functions.

Betancor, J.J. (1991)

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Hankel integral transforms of a new space of generalized functions of slow growth

Javier A. Barrios, Jorge J. Betancor (1989)

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Hankel transforms in generalized Fock spaces.

Schmeelk, John (1994)

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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 $ℰ {(w)}^{'}$ 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 $ℰ {(w)}^{'}$ .