On the Computation of Fourier Coefficients

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 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.	eng
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