On the Carleman Formula for an Unbounded Matrix Domain Associated with the Classical Domain of the Second Type
32A25, 32A07, 26B10, 30C40, 32N15
Abstract
In the paper, proves a new representation of Carleman's formula for the class of analytic functions defined on the cartesian product of Matrix upper half-planes and defined on the Shilov boundary. As an object of research — high-dimensional matrix domains formed by the structural transformation of Zigel domains are selected.
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