On Uniqueness of Series by General Franklin System
- Autores: Gevorkyan G.1, Navasardyan K.1
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Afiliações:
- Yerevan State University
- Edição: Volume 53, Nº 4 (2018)
- Páginas: 223-231
- Seção: 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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Resumo
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.
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Sobre autores
G. Gevorkyan
Yerevan State University
Autor responsável pela correspondência
Email: ggg@ysu.am
Armênia, Yerevan
K. Navasardyan
Yerevan State University
Email: ggg@ysu.am
Armênia, Yerevan