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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
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.
Received: 23.12.2013 Revised: 06.04.2014
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
Linking options:
https://www.mathnet.ru/eng/mzm10431https://doi.org/10.4213/mzm10431 https://www.mathnet.ru/eng/mzm/v97/i3/p382
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Abstract page: | 427 | Full-text PDF : | 114 | References: | 65 | First page: | 36 |
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