Uniqueness Theorems for Series by Vilenkin System
- Authors: Gevorkyan G.G.1, Navasardyan K.A.1
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Affiliations:
- Yerevan State University
- Issue: Vol 53, No 2 (2018)
- Pages: 88-99
- Section: Real and Complex Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228152
- DOI: https://doi.org/10.3103/S1068362318020048
- ID: 228152
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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.
Keywords
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