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.