Bukharbay T. Kurbanov, “Morera's boundary theorem in Siegel domain of the first kind”, J. Sib. Fed. Univ. Math. Phys., 2022, Volume 15, Issue 2,Pages <nobr>255

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Morera's boundary theorem in Siegel domain of the first kind

Bukharbay T. Kurbanov

Karakalpak State University, Nukus, Uzbekistan

Abstract: The paper considers the realization of the matrix unit polydisk in the form of a Siegel domain of the first kind and proves the boundary analogue of Morera's theorem.

Keywords: matrix unit polydisk, automorphism, Poisson kernel, holomorphic function, holomorphic extension.

UDC: 517.55

Received: 13.10.2021
Received in revised form: 27.01.2022
Accepted: 02.02.2022

Language: English

DOI: 10.17516/1997-1397-2022-15-2-255-262