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arxiv: 1703.03232 · v1 · pith:P6VGMAXRnew · submitted 2017-03-09 · 🧮 math.CA

A Hardy inequality for ultraspherical expansions with an application to the sphere

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keywords expansionshardyinequalityresultultrasphericalapplicationdeducedouble
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We prove a Hardy inequality for ultraspherical expansions by using a proper ground state representation. From this result we deduce some uncertainty principles for this kind of expansions. Our result also implies a Hardy inequality on spheres with a potential having a double singularity.

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