Mean-periodic function

In mathematical analysis, the concept of a mean-periodic function is a generalization introduced in 1935 by Jean Delsarte[1][2] of the concept of a periodic function. Further results were made by Laurent Schwartz and J-P Kahane.[3][4]

  1. ^ Delsarte, Jean (1935). "Les fonctions moyenne-périodiques". Journal de Mathématiques Pures et Appliquées. 17: 403–453.
  2. ^ Kahane, J.-P. (1959). Lectures on Mean Periodic Functions (PDF). Tata Institute of Fundamental Research, Bombay.
  3. ^ Malgrange, Bernard (1954). "Fonctions moyenne-périodiques (d'après J.-P. Kahane)" (PDF). Séminaire Bourbaki (97): 425–437.
  4. ^ Schwartz, Laurent (1947). "Théorie générale des fonctions moyenne-périodiques" (PDF). Ann. of Math. 48 (2): 857–929. doi:10.2307/1969386. JSTOR 1969386.