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 (10,430 words) - 12:34, 1 August 2024
first proof that the Fourier series of a continuous function might diverge. In German Andrey Kolmogorov, "Une série de Fourier–Lebesgue divergente presque...
21 KB (3,624 words) - 16:44, 28 May 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) - 01:56, 25 January 2024
In physics, engineering and mathematics, the Fourier transform (FT) is an integral transform that takes a function as input and outputs another function...
177 KB (21,044 words) - 13:14, 5 August 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 (3,529 words) - 17:04, 18 April 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 (2,779 words) - 00:37, 25 July 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...
62 KB (8,506 words) - 04:34, 19 July 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...
890 bytes (77 words) - 16:15, 25 July 2022
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:...
93 KB (13,792 words) - 13:12, 7 July 2024
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 (554 words) - 03:32, 3 July 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 (270 words) - 12:02, 16 April 2022
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...
23 KB (3,741 words) - 15:25, 22 April 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
"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...
5 KB (669 words) - 14:51, 16 May 2024
trigonométrique. Quatrieme Partie. Les totalisations. Solution du probléme de Fourier. Premier Fascicule: Les totalisations. Deuxième Fascicule: Appendices...
6 KB (487 words) - 11:16, 3 November 2022
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....
57 KB (10,024 words) - 18:31, 4 August 2024
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) - 06:44, 23 July 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) - 09:21, 1 August 2024
de Dupuis, de Volney, de Fourier et de M. Biot, Paris : Treuttel & Wurtz, et Bachelier, [7] 1835: Mémoire sur l'origine Japonaise, Arabe et Basque de...
7 KB (796 words) - 06:39, 29 September 2023
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...
19 KB (2,424 words) - 12:07, 14 May 2024
including a complete characterization of 'band-limited' functions whose Fourier transform has compact support, known as the Beurling-Malliavin theorem...
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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 (3,834 words) - 07:10, 28 July 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
Olivier Giroud (category CS1 German-language sources (de))
(STAPS) at the Joseph Fourier University, in Grenoble. Giroud began organised football playing for his hometown club, Olympique Club de Froges. He spent six...
191 KB (16,372 words) - 23:05, 23 July 2024
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...
52 KB (6,375 words) - 05:59, 23 July 2024
Institute and, in 1973, with a doctorate in physical sciences from the Joseph-Fourier University of Grenoble .[citation needed] After having held several jobs...
11 KB (1,056 words) - 20:18, 12 July 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...
20 KB (2,893 words) - 18:00, 8 May 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...
103 KB (11,486 words) - 14:18, 8 August 2024