first proof that the Fourier series of a continuous function might diverge. In German Andrey Kolmogorov, "Une série de Fourier–Lebesgue divergente presque...
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titled Une série de Fourier-Lebesgue divergente presque partout in which he gave an example of a Lebesgue-integrable function whose Fourier series diverges...
68 KB (10,935 words) - 01:03, 22 December 2024
Camille Jordan (category Academic staff of the Collège de France)
Jordan, Camille (1881). "Sur la série de Fourier" [On the Fourier series]. Comptes rendus hebdomadaires des séances de l'Académie des Sciences. 92. Paris:...
6 KB (431 words) - 09:02, 13 September 2024
In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function that describes the extent...
175 KB (20,877 words) - 09:30, 14 December 2024
Carleson's theorem (category Theorems in Fourier analysis)
4064/sm-26-3-305-306, MR 0199632 Kolmogorov, Andrey Nikolaevich (1923), "Une série de Fourier–Lebesgue divergente presque partout", Fundamenta Mathematicae, 4: 324–328...
15 KB (1,792 words) - 05:52, 22 July 2024
Andrey Kolmogorov (category CS1 German-language sources (de))
ISBN 978-0-7167-4106-0. Kolmogorov, A. (1923). "Une série de Fourier–Lebesgue divergente presque partout" [A Fourier–Lebesgue series that diverges almost everywhere]...
31 KB (2,788 words) - 22:14, 23 September 2024
Total variation (category CS1 German-language sources (de))
EMS Press Jordan, Camille (1881), "Sur la série de Fourier", Comptes rendus hebdomadaires des séances de l'Académie des sciences (in French), 92: 228–230...
25 KB (3,562 words) - 07:48, 19 December 2024
Jordan, Camille (1881), "Sur la série de Fourier" [On Fourier's series], Comptes rendus hebdomadaires des séances de l'Académie des sciences, 92: 228–230...
61 KB (8,429 words) - 15:42, 17 October 2024
Séries de Fourier et classes quasi-analytiques de fonctions. Leçons professées à l'Institut Henri Poincaré et à la Faculté des sciences de Clermont-Ferrand...
13 KB (1,238 words) - 19:55, 9 November 2023
les coefficients de Fourier des formes modulaires de poids demi-entier", Journal de Mathématiques Pures et Appliquées, Neuvième Série, 60 (4): 375–484...
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Poisson summation formula (category Fourier analysis)
that relates the Fourier series coefficients of the periodic summation of a function to values of the function's continuous Fourier transform. Consequently...
26 KB (4,341 words) - 06:53, 21 December 2024
Friedel's law (category Fourier analysis)
Friedel, is a property of Fourier transforms of real functions. Given a real function f ( x ) {\displaystyle f(x)} , its Fourier transform F ( k ) = ∫ −...
2 KB (279 words) - 02:12, 18 December 2024
Dirac delta function (category Fourier analysis)
distributions. Joseph Fourier presented what is now called the Fourier integral theorem in his treatise Théorie analytique de la chaleur in the form:...
94 KB (14,099 words) - 16:33, 15 December 2024
Marcinkiewicz interpolation theorem (category Fourier analysis)
Marcinkiewicz concerning interpolation of operations", Journal de Mathématiques Pures et Appliquées, Neuvième Série, 35: 223–248, ISSN 0021-7824, MR 0080887...
9 KB (1,484 words) - 20:02, 20 April 2023
ISSN 0019-2082. de Leeuw, Karel; Yitzhak Katznelson; Jean-Pierre Kahane (1977). "Sur les coefficients de Fourier des fonctions continues". Comptes Rendus de l'Académie...
7 KB (553 words) - 08:07, 5 September 2024
"Opérateurs dissipatifs et semi-groupes dans les espaces de fonctions continues". Annales de l'Institut Fourier. 26 (4): 1–97. doi:10.5802/aif.632. Ledoux, Michel...
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cohomologie des variétés algébriques de caractéristique p", Mémoires de la Société Mathématique de France, Nouvelle Série (23): 7–32, ISSN 0037-9484, MR 0865810...
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trigonométrique. Quatrieme Partie. Les totalisations. Solution du probléme de Fourier. Premier Fascicule: Les totalisations. Deuxième Fascicule: Appendices...
6 KB (488 words) - 19:11, 29 September 2024
Hermite polynomials (category CS1 German-language sources (de))
Œuvres I, 501–508. Hermite, C. (1864). "Sur un nouveau développement en série de fonctions" [On a new development in function series]. C. R. Acad. Sci....
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including a complete characterization of 'band-limited' functions whose Fourier transform has compact support, known as the Beurling-Malliavin theorem...
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mathematics. Sobolev spaces can be defined by some growth conditions on the Fourier transform. They and their embedding theorems are an important subject in...
9 KB (816 words) - 06:52, 22 October 2024
Ramanujan–Petersson conjecture (category CS1 German-language sources (de))
Ramanujan (1916, p. 176), states that Ramanujan's tau function given by the Fourier coefficients τ(n) of the cusp form Δ(z) of weight 12 Δ ( z ) = ∑ n > 0...
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French Academy of Sciences (redirect from Mémoires de l'Académie (royale) des sciences de l'Institut (imperial) de France)
Caritat, marquis de Condorcet 1801–1822 Jean Baptiste Joseph Delambre 1822–1830 Joseph Fourier 1830–1853 François Arago 1853–1874 Léonce Élie de Beaumont 1874–1900...
33 KB (3,794 words) - 20:32, 17 December 2024
prénoms (under the pen name of Robert de Herte, with [sic] Alain de Benoist), coll. « Hors-série d'"Enfants-Magazine" » (Publications Groupe Média, 1979). Comment...
50 KB (6,124 words) - 16:55, 13 December 2024
Laurent series (redirect from Laurent serie)
{\displaystyle r<\varrho <R} , this just amounts to computing the complex Fourier coefficients of the restriction of f {\displaystyle f} to γ {\displaystyle...
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E (mathematical constant) (category CS1 German-language sources (de))
arithmetic operations and thus reduced bit complexity. Combining this with fast Fourier transform-based methods of multiplying integers makes computing the digits...
54 KB (6,473 words) - 21:40, 16 December 2024
185–195, 305–317. Terjanian G (1987). "Sur une question de V. A. Lebesgue". Annales de l'Institut Fourier. 37 (3): 19–37. doi:10.5802/aif.1096. Ribenboim, pp...
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étale cohomology of number fields", Annales Scientifiques de l'École Normale Supérieure, Série 4, 6 (4): 521–552, doi:10.24033/asens.1257, ISSN 0012-9593...
53 KB (6,694 words) - 18:05, 11 November 2024
(1938). "Sur un théorème de l'analyse fonctionnelle". Comptes Rendus (Doklady) de l'Académie des Sciences de l'URSS, Nouvelle Série. 20: 5–9. Gagliardo, Emilio...
21 KB (3,183 words) - 16:20, 29 November 2024
and writer. Jean-François Champollion (1790–1832) – Egyptologist. Joseph Fourier (1768–1830) – mathematician and physicist. Louis Néel (1904–2000) – physicist...
8 KB (843 words) - 04:29, 8 April 2024