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

32A25, 32A07, 26B10, 30C40, 32N15

  • Zokirbek Matyakubov
  • Uktam Rakhmonov Tashkent state technical university
  • Jonibek Abdullayev
  • Khamdambek Kuromboev

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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Published
2026-02-23
Section
Conf. Issue: Advances in Algebra, Analysis, Optimization, and Modeling