Solution of a multivariate functional equation
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.
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