dc.date.accessioned 2006-11-16T11:00:18Z dc.date.available 2006-11-16T11:00:18Z dc.date.issued 2006-11-16T11:00:18Z dc.identifier.uri urn:nbn:de:hebis:34-2006111615737 dc.identifier.uri http://hdl.handle.net/123456789/2006111615737 dc.format.extent 229838 bytes dc.format.mimetype application/pdf dc.language.iso eng dc.rights Urheberrechtlich geschützt dc.rights.uri https://rightsstatements.org/page/InC/1.0/ dc.subject Fourier Series eng dc.subject.ddc 510 dc.title On the Computation of Fourier Coefficients eng dc.type Preprint dcterms.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 eng 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. dcterms.accessRights open access dcterms.creator Koepf, Wolfram dcterms.creator Nana Chiadjeu, Etienne dc.subject.msc 68W30 eng dc.subject.msc 33F10 eng dc.subject.swd Fourier-Reihe ger
﻿