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Uniqueness theorem for additive functions and its applications to orthogonal series

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Abstract

The subject of this paper is the recovery of an additive function defined on P-adic parallelepipeds from its derivative with respect to 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.

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  1. Yerevan State University, Yerevan, Armenia

    K. A. Keryan

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  1. K. A. Keryan
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Correspondence to K. A. Keryan.

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Keryan, K.A. Uniqueness theorem for additive functions and its applications to orthogonal series. Math Notes 97, 362–375 (2015). https://doi.org/10.1134/S0001434615030074

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  • DOI: https://doi.org/10.1134/S0001434615030074

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