Uniqueness Theorems for Franklin Series

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Abstract

Simple Franklin series are investigated that converge to zero everywhere except for one point (or several points). It is also proved that the one-point set (or a finite set) is a uniqueness set for Pringsheim convergent double series.

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Gevorkyan, G. G. (2018). Uniqueness Theorems for Franklin Series. Proceedings of the Steklov Institute of Mathematics, 303(1), 58–77. https://doi.org/10.1134/S0081543818080072

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