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math.FA2004

On the {Bessmertny\uı} Class of Homogeneous Positive Holomorphic Functions on a Product of Matrix Halfplanes

Dmitry S. Kalyuzhny\uı-Verbovetzki\uı

We generalize our earlier results from \cite{K} on the Bessmertny\uı class of operator-valued functions holomorphic in the open right poly-halfplane which admit representation as a…