title: Basis properties of thep,q-sine functions.
abstract: We improve the currently known thresholds for basisness of the family of periodically dilatedp,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 with this family. These results seal mathematical gaps in the existing literature on the subject.
authors: Department of Mathematics and Maxwell Institute for Mathematical Sciences , Heriot-Watt University , Edinburgh EH14 4AS, UK.
authors: Lyonell
authors: L
authors: Boulton
authors: Department of Mathematics and Maxwell Institute for Mathematical Sciences , Heriot-Watt University , Edinburgh EH14 4AS, UK.
authors: Gabriel J
authors: GJ
authors: Lord
keywords: Riesz basis; Schauder basis; generalized trigonometric functions