Uniqueness Theorems for Generalized Haar Systems
- Authors: Gevorkyan G.G.1, Navasardyan K.A.1
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Affiliations:
- Yerevan State University
- Issue: Vol 104, No 1-2 (2018)
- Pages: 10-21
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151096
- DOI: https://doi.org/10.1134/S0001434618070027
- ID: 151096
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Abstract
A uniqueness theorem and a recovery theorem for the coefficients of series in generalized Haar systems are proved under the assumption that the series converge in measure and satisfy a certain necessary condition on the distribution function of the majorant of partial sums.
About the authors
G. G. Gevorkyan
Yerevan State University
Author for correspondence.
Email: ggg@ysu.am
Armenia, Yerevan, 375025
K. A. Navasardyan
Yerevan State University
Email: ggg@ysu.am
Armenia, Yerevan, 375025
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