Basic analog of Fourier series on a {\large $\que$}-quadratic grid

Details Basic analog of Fourier series on a {\large $\que$}-quadratic grid Basic analog of Fourier series on a {\large $\que$}-quadratic grid

1997-06-04

arxiv.org/abs/math/9706216v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We prove orthogonality relations for some analogs of trigonometric functions
on a $q$-quadratic grid and introduce the corresponding $q$-Fourier series. We
also discuss several other properties of this basic trigonometric system and
the $q$-Fourier series.

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