• Thumbnail for Fourier transform
    Eq.1 converges for all real ξ {\displaystyle \xi } , and (using the RiemannLebesgue lemma) that the transformed function f ^ {\displaystyle {\widehat {f}}}...
    177 KB (21,041 words) - 15:49, 11 May 2024
  • Thumbnail for List of important publications in mathematics
    stated the Riemann series theorem, proved the RiemannLebesgue lemma for the case of bounded Riemann integrable functions, and developed the Riemann localization...
    95 KB (10,144 words) - 23:57, 12 April 2024
  • (2006), problem 5-3. Cantat (2000), Théorème 2.2. Cantat (2010), sections 7 to 9. Cantat (2014), section 2.4.3. De Thélin & Dinh (2012), Theorem 1.2. Dinh...
    31 KB (4,681 words) - 08:23, 15 August 2023
  • of fg is a convergent improper integral. Démonstration d’un théorème d’Abel. Journal de mathématiques pures et appliquées 2nd series, tome 7 (1862),...
    4 KB (902 words) - 14:16, 27 February 2024
  • general formulations of integration by parts exist for the Riemann–Stieltjes and Lebesgue–Stieltjes integrals. The discrete analogue for sequences is...
    88 KB (10,913 words) - 11:59, 19 April 2024
  • Peccot Lectures (category Collège de France)
    Peccot in French) is a semester-long mathematics course given at the Collège de France. Each course is given by a mathematician under 30 years old who has...
    26 KB (495 words) - 13:48, 11 March 2024
  • Thumbnail for L'Hôpital's rule
    T. (1949), "Quelques démonstrations uniformes pour tous les cas du théorème de l'Hôpital. Généralisations", Prace Mat.-Fiz. (in French), 47: 117–128...
    35 KB (6,978 words) - 04:16, 10 May 2024
  • form in 1831. His proof of the divergence theorem – "Démonstration d'un théorème du calcul intégral" (Proof of a theorem in integral calculus) – which he...
    44 KB (7,506 words) - 12:02, 23 April 2024