LEBESGUE, HENRI.

Recherches sur la Convergence des Séries de Fourier.

Leipzig, B. G. Teubner, 1905. 8vo. Bound in contemporary half calf with gilt lettering to spine. In "Mathematische Annalen, 61. Band, 2. Heft, 1905". Entire volume 61 offered. Wear to extremities. Book plate to pasted down front free end-paper and library stamp to verso of title page. Pp. 251-80. [Entire volume: IV, 588 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.: 47379