Basis properties of the p, q-sine functions

Lyonell Boulton*, Gabriel J. Lord

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)
159 Downloads (Pure)


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 with this family. These results seal mathematical gaps in the existing literature on the subject.

Original languageEnglish
Article number20140642
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2175
Publication statusPublished - 15 Feb 2015


  • Generalized trigonometric functions
  • Riesz basis
  • Schauder basis

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)


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