关于一些多重函数级数及多重三角级数pringsheim收敛的唯一性问题的解

Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI:10.1070/SM1992V073N02ABEH002560

Shakro Tetunashvili

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引用次数: 32

摘要

证明了一些多重函数级数的唯一性定理。这些定理的一个特殊结果是解多重三角级数的唯一性问题。一个结果是:任何可数集都是d-fold三角级数(d≥2)的唯一性集(对于Pringsheim收敛)。

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ON SOME MULTIPLE FUNCTION SERIES AND THE SOLUTION OF THE UNIQUENESS PROBLEM FOR PRINGSHEIM CONVERGENCE OF MULTIPLE TRIGONOMETRIC SERIES

Uniqueness theorems are proved for some multiple function series. A particular consequence of these theorems is the solution of a uniqueness problem for multiple trigonometric series. One result is the following proposition: any countable set is a set of uniqueness (for Pringsheim convergence) of d-fold trigonometric series (d ≥ 2).

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Mathematics of The Ussr-sbornik

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