This article is cited in 2 papers

Localization in bounded summation by Cesaro, Riesz, and Abel methods for multiple Fourier series

N. Ch. Krutitskaya

M. V. Lomonosov Moscow State University

Abstract: We establish the conditions under which the localization principle is valid in bounded summation by Cesaro, Riesz, and Abel methods for multiple Fourier series of functions of Liouville classes.

UDC: 517.5

Received: 07.07.1971

 English version: Mathematical Notes, 1972, 12:4, 645–650

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