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Matematicheskie Zametki, 2015, Volume 97, Issue 3, Pages 382–396
DOI: https://doi.org/10.4213/mzm10431 (Mi mzm10431) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Uniqueness Theorem for Additive Functions and Its Applications to Orthogonal Series

K. A. Kerian

Yerevan State University
Full-text PDF (532 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm10431
Abstract: The subject of this paper is the recovery of an additive function defined on $\mathcal P$-adic parallelepipeds from its derivative with respect to $\mathcal P$-adic parallelepipeds. The resulting theorem is applied to the study of the uniqueness problem for multiple series with respect to the Haar and Price systems.
Keywords: additive function, Haar system, Price system, uniqueness problem, multiple series, recovery of an additive function from its derivative, $\mathcal P$-adic parallelepiped, $A$-integral.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 13-1А006
This work was supported by GKN MON RA (grant no. 13-1A006).
Received: 23.12.2013
Revised: 06.04.2014
English version:
Mathematical Notes, 2015, Volume 97, Issue 3, Pages 362–375
DOI: https://doi.org/10.1134/S0001434615030074
Bibliographic databases:
Document Type: Article
UDC: 517.518.36
Language: Russian
Citation: K. A. Kerian, “Uniqueness Theorem for Additive Functions and Its Applications to Orthogonal Series”, Mat. Zametki, 97:3 (2015), 382–396; Math. Notes, 97:3 (2015), 362–375
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
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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