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arXiv · 1405.7337

Basis properties of the p,q-sine functions

Lyonell Boulton·Gabriel Lord
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Abstract

We improve the currently known thresholds for basisness of the family of periodically dilated p,q-sine functions. Our findings rely on a Beurling decomposition of the corresponding change of coordinates in terms of shift operators of infinite multiplicity. We also determine refined bounds on the Riesz constant associated to this family. These results seal mathematical gaps in the existing literature on the subject.

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BibTeXRIS

Lyonell Boulton, Gabriel Lord. 2014-05-28. Basis properties of the p,q-sine functions. https://doi.org/10.1098/rspa.2014.0642

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