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Basic analog of Fourier series on a -quadratic grid

Joaquin Bustoz, Sergei K. Suslov

math.CAarXiv:math/9706216

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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