Basic analog of Fourier series on a {large que}-quadratic grid
classification
🧮 math.CA
keywords
fourierseriesbasicgridquadratictrigonometricanaloganalogs
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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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