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Matematicheskie Zametki, 2018, Volume 104, Issue 1, Pages 11–24
DOI: https://doi.org/10.4213/mzm11598 (Mi mzm11598) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Uniqueness Theorems for Generalized Haar Systems

G. G. Gevorkyan, K. A. Navasardyan

Yerevan State University
Full-text PDF (502 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm11598
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.
Keywords: generalized Haar system, Fourier series, $A$-integral, uniqueness theorem.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 10-3/1-41
This work was supported by the State Committee MON RA (project 10-3/1-41).
Received: 22.03.2017
Revised: 06.07.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 1, Pages 10–21
DOI: https://doi.org/10.1134/S0001434618070027
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: G. G. Gevorkyan, K. A. Navasardyan, “Uniqueness Theorems for Generalized Haar Systems”, Mat. Zametki, 104:1 (2018), 11–24; Math. Notes, 104:1 (2018), 10–21
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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