Geodesic
Uniqueness Theorem for Additive Functions and Its Applications to Orthogonal Series
Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 382-396.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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K. A. Kerian. Uniqueness Theorem for Additive Functions and Its Applications to Orthogonal Series. Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 382-396. http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a6/

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