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 language | English (US) |
|---|---|
| Pages (from-to) | 1513-1524 |
| Number of pages | 12 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 33 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2003 |
Keywords
- Basic Fourier series
- Basic trigonometric functions
- Completeness of the basic trigonometric system
ASJC Scopus subject areas
- General Mathematics