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arXiv · 1406.1950

A uniqueness theorem of additive functions and applications to some orthogonal series

K. A. Keryan
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Abstract

The restoration of an additive function defined on P parallelepipeds via its derivative with respect to P parallelepipeds is studied. The obtained theorem is applied to the questions of uniqueness of multiple series with regard to Haar and Price systems.

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K. A. Keryan. 2014-06-08. A uniqueness theorem of additive functions and applications to some orthogonal series. https://arxiv.org/abs/1406.1950

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