A Fourier series (/ˈfʊrieɪ, -iər/) is an expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a...
68 KB (10,430 words) - 12:34, 1 August 2024
simpler trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing...
37 KB (4,735 words) - 01:02, 24 August 2024
In mathematics, Fourier–Bessel series is a particular kind of generalized Fourier series (an infinite series expansion on a finite interval) based on Bessel...
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Discrete Fourier transform *DFT matrix Fast Fourier transform Fourier integral operator Fourier inversion theorem Fourier multiplier Fourier series Fourier sine...
177 KB (21,044 words) - 13:14, 5 August 2024
In mathematics, the question of whether the Fourier series of a periodic function converges to a given function is researched by a field known as classical...
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field of calculus and Fourier analysis, the Fourier sine and cosine series are two mathematical series named after Joseph Fourier. In this article, f denotes...
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best known for initiating the investigation of Fourier series, which eventually developed into Fourier analysis and harmonic analysis, and their applications...
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certain sense one could say that the Taylor series is "local" and the Fourier series is "global". The Taylor series is defined for a function which has infinitely...
48 KB (8,253 words) - 02:02, 23 August 2024
functional analysis, a generalized Fourier series corresponds to the series expansion of square-integrable functions. This series expansion is with respect to...
6 KB (1,206 words) - 19:26, 15 August 2024
In digital signal processing, a discrete Fourier series (DFS) is a Fourier series whose sinusoidal components are functions of discrete time instead of...
4 KB (610 words) - 16:18, 16 August 2024