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Chebyshevskii Sbornik, 2022, Volume 23, Issue 4, Pages 126–135
DOI: https://doi.org/10.22405/2226-8383-2022-23-4-126-135 (Mi cheb1228) 		 
Carleman's formula for the matrix domains of Siegel

U. S. Rakhmonova, Z. K. Matyakubovb

a Tashkent State Technical University (Tashkent, Uzbekistan)
b Khorezm Academy of Mamun (Khorezm, Uzbekistan)
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DOI: https://doi.org/10.22405/2226-8383-2022-23-4-126-135
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.
Received: 06.11.2021
Accepted: 08.12.2022
Document Type: Article
UDC: 517.55
Language: English
Citation: U. S. Rakhmonov, Z. K. Matyakubov, “Carleman's formula for the matrix domains of Siegel”, Chebyshevskii Sb., 23:4 (2022), 126–135
Citation in format AMSBIB
\Bibitem{RakMat22}
\by U.~S.~Rakhmonov, Z.~K.~Matyakubov
\paper Carleman's formula for the matrix domains of Siegel
\jour Chebyshevskii Sb.
\yr 2022
\vol 23
\issue 4
\pages 126--135
\mathnet{http://mi.mathnet.ru/cheb1228}
\crossref{https://doi.org/10.22405/2226-8383-2022-23-4-126-135}
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