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A collocation method for the numerical Fourier analysis of quasi-periodic functions. II: Analytical error estimates

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  • In a previous paper [6], a numerical procedure for the Fourier analysis of quasi-periodic functions was developed, allowing for an accurate determination of frequencies and amplitudes from equally-spaced samples of the input function on a finite time interval. This paper is devoted to a complete error analysis of that procedure, from which computable bounds are deduced. These bounds are verified and further discussed in examples.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.


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