LEBESGUE, HENRI.

Recherches sur la Convergence des Séries de Fourier.

Leipzig, B. G. Teubner, 1905. 8vo. In the original printed wrappers, without backstrip. In "Mathematische Annalen, 61. Band, 2. Heft, 1905". Fine and clean. [Lebesgue:] Pp. 251-280. [Entire issue: 161-288 pp].

First printing of Lebesque's paper in which he extended and accepted Fourier's work that stated that any arbitrary function, defined in a finite interval, can be expressed as a sum of sine and cosine functions: "In 1905 Lebesgue gave a new sufficient condition for the convergence of the Fourier series to a function f(x) that include all previously known conditions". (Kleine, P. 1047)

Order-nr.: 46200