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

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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 \({\mathcal{E}}\left( w \right)^\prime \).

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  1. Departamento de Análisis Matemático, Universidad de La Laguna, 38271, Tenerife Islas Canarias, España

    M. Belhadj & J. J. Betancor

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  1. M. Belhadj
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  2. J. J. Betancor
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Belhadj, M., Betancor, J.J. On Hankel Transform and Hankel Convolution of Beurling Type Distributions Having Upper Bounded Support. Czechoslovak Mathematical Journal 54, 315–336 (2004). https://doi.org/10.1023/B:CMAJ.0000042371.13077.5d

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