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Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms.

5 votes
2 answers
373 views

Substantiating claimed Fourier quote about “an arbitrarily capricious graph”

The following quote (in English) is fairly widely attributed to Fourier, but I can't substantiate it. An arbitrary function, continuous or with discontinuities, defined in a finite interval by an …
Daniel J. Greenhoe's user avatar
1 vote

Substantiating claimed Fourier quote about “an arbitrarily capricious graph”

I think the conclusion here is that there is no proof that the claimed Fourier quote is an actual Fourier quote (in any language). However, (1) Absence of proof is not proof of absence. (2) Althou …
Daniel J. Greenhoe's user avatar