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Wavelets associated with Hankel transform and their Weyl transforms
Authors:Email author" target="_blank">Peng?Lizhong?Email author  Email author" target="_blank">Ma?Ruiqin?Email author
Institution:LMAM, School of Mathematical Sciences, Peking University,Beijing 100871, China
Abstract:The Hankel transform is an important transform. In this paper, we study the wavelets associated with the Hankel transform, then define the Weyl transform of the wavelets. We give criteria of its boundedness and compactness on the L~p-spaces.
Keywords:Bessel function  Hankel transform  wavelets  Weyl transform  boundedness  compactness
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