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Please use this identifier to cite or link to this item: http://nbn-resolving.de/urn:nbn:de:hebis:34-2006111615737

Title: On the Computation of Fourier Coefficients
Authors: Koepf, WolframNana Chiadjeu, Etienne
???metadata.dc.subject.swd???: Fourier-Reihe
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 16-Nov-2006
Abstract: In this paper we derive an identity for the Fourier coefficients of a differentiable function f(t) in terms of the Fourier coefficients of its derivative f'(t). This yields an algorithm to compute the Fourier coefficients of f(t) whenever the Fourier coefficients of f'(t) are known, and vice versa. Furthermore this generates an iterative scheme for N times differentiable functions complementing the direct computation of Fourier coefficients via the defining integrals which can be also treated automatically in certain cases.
URI: urn:nbn:de:hebis:34-2006111615737
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