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arxiv: 1012.5901 · v1 · pith:SONPSMQEnew · submitted 2010-12-29 · 🧮 math.CA · math.FA

Generalized Fourier transform on Ch\'ebli-Trim\'eche hypergroups

classification 🧮 math.CA math.FA
keywords transformebli-trimechefouriergeneralizedhypergroupsbesov-typecase
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In this paper, we prove the Hardy-Littlewood inequality for the generalized Fourier transform on Ch\'ebli-Trim\'eche hypergroups and we study in the particular case of the Jacobi hypergroup the integrability of this transform on Besov-type spaces.

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