titled Une série de Fourier-Lebesgue divergente presque partout in which he gave an example of a Lebesgue-integrable function whose Fourier series diverges...
72 KB (11,152 words) - 11:43, 12 June 2025
In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input then outputs another function that describes the extent...
177 KB (21,313 words) - 14:22, 28 June 2025
first proof that the Fourier series of a continuous function might diverge. In German Andrey Kolmogorov, "Une série de Fourier–Lebesgue divergente presque...
23 KB (4,071 words) - 13:25, 30 June 2025
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 (2,789 words) - 10:11, 26 June 2025
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 (1,796 words) - 23:47, 29 May 2025
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) - 18:34, 13 April 2025
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 (3,547 words) - 10:19, 19 June 2025
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 (8,441 words) - 20:55, 29 April 2025
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
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) - 10:44, 28 May 2025
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...
30 KB (4,951 words) - 03:09, 20 April 2025
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) - 14:59, 22 February 2025
Dirac delta function (category Fourier analysis)
function.: 33 Joseph Fourier presented what is now called the Fourier integral theorem in his treatise Théorie analytique de la chaleur in the form:...
96 KB (14,263 words) - 00:50, 2 July 2025
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
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 (1,488 words) - 16:48, 27 March 2025
including a complete characterization of 'band-limited' functions whose Fourier transform has compact support, known as the Beurling-Malliavin theorem...
9 KB (712 words) - 09:49, 13 April 2025
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 (280 words) - 17:00, 19 June 2025
actually moderate growth at the cusps is a classical Maass wave form. The Fourier expansions of harmonic Maass forms often encode interesting combinatorial...
10 KB (1,464 words) - 03:13, 3 December 2023
Hermite polynomials (category CS1 German-language sources (de))
Feldheim, Ervin. "Développements en série de polynômes d’Hermite et de Laguerrea l’aide des transformations de Gauss et de Hankel." Proceedings of the Koninklijke...
68 KB (12,148 words) - 20:43, 19 June 2025
mathematics. Sobolev spaces can be defined by some growth conditions on the Fourier transform. They and their embedding theorems are an important subject in...
10 KB (817 words) - 16:00, 16 March 2025
Olivier Giroud (redirect from Le buteur de charme)
(STAPS) at the Joseph Fourier University, in Grenoble. Giroud began organised football playing for his hometown club, Olympique Club de Froges. He spent six...
201 KB (17,349 words) - 10:01, 2 July 2025
"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) - 02:13, 13 June 2025
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...
20 KB (2,499 words) - 01:44, 28 May 2025
pratique des prénoms (under the pen name of Robert de Herte, with [sic] Alain de Benoist), coll. « Hors-série d'"Enfants-Magazine" » (Publications Groupe Média...
52 KB (6,515 words) - 08:14, 12 June 2025
Gérard, Raymond (1969). Le problème de Riemann-Hilbert sur une variété analytique complexe. (French) Ann. Inst. Fourier (Grenoble) 19 (1969), fasc. 2, 1--32...
10 KB (1,191 words) - 17:51, 8 August 2024
Laurent series (redirect from Laurent serie)
R {\displaystyle r<\varrho <R} , this amounts to computing the complex Fourier coefficients of the restriction of f {\displaystyle f} to γ {\displaystyle...
16 KB (2,675 words) - 20:24, 29 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...
103 KB (11,708 words) - 08:55, 30 June 2025
hypothèse de Riemann", Journal de Mathématiques Pures et Appliquées, Neuvième Série, 63 (2): 187–213, MR 0774171 Rodgers, Brad; Tao, Terence (2020), "The de Bruijn–Newman...
127 KB (16,781 words) - 22:34, 19 June 2025
Polylogarithm (redirect from De Jonquière's function)
la série ∑ n = 1 ∞ x n n s {\displaystyle \scriptstyle \sum _{n=1}^{\infty }{\frac {x^{n}}{n^{s}}}} " (PDF). Bulletin de la Société Mathématique de France...
60 KB (10,143 words) - 15:45, 2 June 2025
and writer. Jean-François Champollion (1790–1832) – Egyptologist. Joseph Fourier (1768–1830) – mathematician and physicist. Louis Néel (1904–2000) – physicist...
8 KB (843 words) - 04:06, 21 April 2025