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arXiv:math/9706216 [math.CA]AbstractReferencesReviewsResources

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

Joaquin Bustoz, Sergei K. Suslov

Published 1997-06-04Version 1

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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