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

Joaquin Bustoz·Sergei K. Suslov
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Abstract

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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Joaquin Bustoz, Sergei K. Suslov. 1997-06-04. Basic analog of Fourier series on a {\large $\que$}-quadratic grid. https://arxiv.org/abs/math/9706216

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