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 ℰ(𝒲)′ of Beurling type distributions on (0, ∞) 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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