A note on completeness of basic trigonometric system in ℒ2

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Abstract

We use the q-Lommel polynomials and the Riesz-Fisher theorem in order to give an independent proof of the completeness of the basic trigonometric system in certain weighted ℒ2-spaces.

Original languageEnglish (US)
Pages (from-to)1513-1524
Number of pages12
JournalRocky Mountain Journal of Mathematics
Volume33
Issue number4
DOIs
StatePublished - 2003

Keywords

  • Basic Fourier series
  • Basic trigonometric functions
  • Completeness of the basic trigonometric system

ASJC Scopus subject areas

  • Mathematics(all)

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