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On the Carleman Formula for an Unbounded Matrix Domain Associated with the Classical Domain of the Second Type

Zokirbek MatyakubovUrgench State UniversityUktam RakhmonovTashkent State Technical University named after Islam KarimovJonibek AbdullayevUrgench State UniversityKhamdambek KuromboevChirchik State Pedagogical University
2026
ABI

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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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