U. S. Rakhmonov, Z. K. Matyakubov, “Carleman's formula for the matrix domains of Siegel”, Chebyshevskii Sb., 2022, Volume 23, Issue 4,Pages <nobr>126

Carleman's formula for the matrix domains of Siegel

U. S. Rakhmonov^a, Z. K. Matyakubov^b

^a Tashkent State Technical University (Tashkent, Uzbekistan)
^b Khorezm Academy of Mamun (Khorezm, Uzbekistan)

Abstract: The domain of Siegel first type is not a bounded domain, but Carleman's formulas for it play an important role in the further presentation. In this paper, the Carleman formula for the Siegel domain is found.

Keywords: Сlassical domains, Carleman's formula, Shilov boundary, Cauchy kernel, matrix unit disc, Siegel domain.

UDC: 517.55

Received: 06.11.2021
Accepted: 08.12.2022

Language: English

DOI: 10.22405/2226-8383-2022-23-4-126-135