Orthonormal System for a Matrix Ball of the Second Type $\mathbb B_{m,n}^{(2)}$ and Its Skeleton (Shilov's Boundary) $\mathbb X_{m,n}^{(2)}$

A. In this paper, an orthonormal system was found for a matrix ball of the second type and unsolved open problems of several complex analysis in the matrix bal B(3) m,n associated with the classical domain of the third type and its skeleton X (3) m,n are formulated.

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