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. 
@article{MZM_2015_97_3_a6,
     author = {K. A. Kerian},
     title = {Uniqueness {Theorem} for {Additive} {Functions} and {Its} {Applications} to {Orthogonal} {Series}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {382--396},
     publisher = {mathdoc},
     volume = {97},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a6/}
}
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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/