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...
70 KB (10,863 words) - 12:21, 11 September 2024
Dini criterion (category Fourier series)
|f(t)| ≤ g(t) whose Fourier series does not converge at 0. Dini, Ulisse (1880), Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile...
1 KB (144 words) - 13:15, 25 March 2023
Luigi Bianchi. Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale (Pisa, T. Nistri, 1880) Lezioni di analisi infinitesimale...
9 KB (887 words) - 16:11, 5 September 2024
Dini–Lipschitz criterion (category Fourier series)
respect to δ {\displaystyle \delta } . Dini, Ulisse (1872), Sopra la serie di Fourier, Pisa Golubov, B. I. (2001) [1994], "Dini-Lipschitz criterion", Encyclopedia...
1 KB (122 words) - 07:50, 29 August 2021
Marcinkiewicz interpolation theorem (category Fourier analysis)
computed by first taking the Fourier transform of f, then multiplying by the sign function, and finally applying the inverse Fourier transform. Hence Parseval's...
9 KB (1,484 words) - 20:02, 20 April 2023
was an Italian mathematician known for her work on the summability of Fourier series, on Morera's theorem for analytic functions of several variables...
11 KB (1,119 words) - 07:04, 6 May 2024
Encyclopedia of Mathematics, EMS Press Jordan, Camille (1881), "Sur la série de Fourier", Comptes rendus hebdomadaires des séances de l'Académie des sciences...
25 KB (3,529 words) - 01:21, 22 September 2024
functions of bounded variation. Jordan, Camille (1881), "Sur la série de Fourier" [On Fourier's series], Comptes rendus hebdomadaires des séances de l'Académie...
62 KB (8,506 words) - 04:34, 19 July 2024
de l'URSS, Nouvelle Série. 20: 5–9. Gagliardo, Emilio (1958). "Proprietà di alcune classi di funzioni in più variabili". Ricerche di Matematica. 7: 102–137...
20 KB (2,893 words) - 18:00, 8 May 2024
della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Serie IX. Matematica e Applicazioni. 36: 34–70...
103 KB (11,494 words) - 21:04, 20 September 2024