Alberto Arenas, Óscar Ciaurri, Edgar Labarga
Published 2017-03-09Version 1
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.
Comments: 12 pages, to be published in Journal of Fourier Analysis and Applications
A note on a hypergeometric transformation formula due to Slater with an application
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