Abstract:
In the article we consider a boundary version of Morera's theorem for the matrix ball of the third type.
Keywords:
matrix ball of the first type, matrix ball of the third type, Poisson kernel, Morera theorem.
Received: 18.01.2017 Received in revised form: 06.03.2017 Accepted: 06.08.2017
Bibliographic databases:
Document Type:
Article
UDC:517.55
Language: English
Citation:
Gulmirza Kh. Khudayberganov, Bayram P. Otemuratov, Uktam S. Rakhmonov, “Boundary Morera theorem for the matrix ball of the third type”, J. Sib. Fed. Univ. Math. Phys., 11:1 (2018), 40–45
\Bibitem{KhuOteRak18}
\by Gulmirza~Kh.~Khudayberganov, Bayram~P.~Otemuratov, Uktam~S.~Rakhmonov
\paper Boundary Morera theorem for the matrix ball of the third type
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 1
\pages 40--45
\mathnet{http://mi.mathnet.ru/jsfu590}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-1-40-45}
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Linking options:
https://www.mathnet.ru/eng/jsfu590
https://www.mathnet.ru/eng/jsfu/v11/i1/p40
This publication is cited in the following 6 articles:
Uktam S. Rakhmonov, Jonibek Sh. Abdullayev, “On properties of the second type matrix ball B(2)m,n from space Cn[m×m]”, Zhurn. SFU. Ser. Matem. i fiz., 15:3 (2022), 329–342
U. S. Rakhmonov, Z. K. Matyakubov, “Carleman's formula for the matrix domains of Siegel”, Chebyshevskii sb., 23:4 (2022), 126–135
G. Khudayberganov, J. Sh. Abdullayev, “Holomorphic continuation into a matrix ball of functions defined on a piece of its skeleton”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 31:2 (2021), 296–310
G. Khudaiberganov, J. Sh. Abdullayev, “The boundary Morera theorem for domain τ+(n−1)”, Ufa Math. J., 13:3 (2021), 191–205
Gulmirza Kh. Khudayberganov, Jonibek Sh. Abdullayev, “Relationship between the Bergman and Cauchy-Szegö in the domains τ+(n−1) i ℜnIV”, Zhurn. SFU. Ser. Matem. i fiz., 13:5 (2020), 559–567
U. S. Rakhmonov, J. Sh. Abdullayev, “On volumes of matrix ball of third type and generalized Lie balls”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 29:4 (2019), 548–557
Citation in format AMSBIB
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