2019
Том 71
№ 6

# Solution of a multivariate functional equation

Sakovich G. N.

Abstract

Let there be a non-singular matrix $C_r$ for every natural $r$, equation (1) to be satisfied for every vector $T$. All scalar functions $H(T)$ with these properties are described, certain assumptions as to their continuity being made. This problem is suggested by one probabilistic problem.

Citation Example: Sakovich G. N. Solution of a multivariate functional equation // Ukr. Mat. Zh. - 1961. - 13, № 2. - pp. 173-189.

Full text