Uniqueness Theorems for Series by Vilenkin System


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Abstract

In this paper, we prove uniqueness theorems and restoration formulas for coefficients of series by Vilenkin system. The series is assumed to be convergent in measure and the distribution function of the majorant of partial sums satisfies some necessary condition.

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About the authors

G. G. Gevorkyan

Yerevan State University

Author for correspondence.
Email: ggg@ysu.am
Armenia, Yerevan

K. A. Navasardyan

Yerevan State University

Author for correspondence.
Email: knavasard@ysu.am
Armenia, Yerevan


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