Email this article On Uniqueness of Series by General Franklin System
- Authors: Gevorkyan G.G.1, Navasardyan K.A.1
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Affiliations:
- Yerevan State University
- Issue: Vol 53, No 4 (2018)
- Pages: 223-231
- Section: Real and Complex Analysis
- URL: https://journals.rcsi.science/1068-3623/article/view/228202
- DOI: https://doi.org/10.3103/S1068362318040040
- ID: 228202
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Abstract
The paper considers the general Franklin system corresponding to a regular by couples partition of the segment [0; 1]. For series by this system, we prove uniqueness theorems and obtain restoration formulas for coefficients, provided that the series converge in measure and satisfy some necessary condition.
About the authors
G. G. Gevorkyan
Yerevan State University
Author for correspondence.
Email: ggg@ysu.am
Armenia, Yerevan
K. A. Navasardyan
Yerevan State University
Email: ggg@ysu.am
Armenia, Yerevan
