Generalized absolute convergence of single and double Fourier series with respect to multiplicative systemsАбсолютная сходимость простых и двойных рядов Фурье по мультипликативным системам

被引：0
|
作者：
B. I. Golubov
S. S. Volosivets
机构：
[1] Moscow Institute of Phisics and Technology,Faculty of Mathematics and Mechanics
[2] Saratov State University named N.G. Chernyshevskii,undefined
来源：
Analysis Mathematica | 2012年 / 38卷
关键词：
Fourier Series; Absolute Convergence; Multiplicative System; Double Fourier Series; Multiplicative Analogue;
D O I：
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中图分类号：
学科分类号：
摘要：
Several sufficient conditions for generalized absolute convergence of single and double Vilenkin-Fourier series of bounded type are obtained. These conditions give multiplicative analogues of results due to L. Gogoladze and R. Meskhia, F. Móricz and A. Veres, M. Izumi and S. Izumi. Some of them are sharp in a certain sense.
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页码：105 / 122
页数：17
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