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Journal of Siberian Federal University. Mathematics & Physics, 2020, Volume 13, Issue 5, Pages 559–567
DOI: https://doi.org/10.17516/1997-1397-2020-13-5-559-567
(Mi jsfu862)
 

This article is cited in 7 scientific papers (total in 7 papers)

Relationship between the Bergman and Cauchy-Szegö in the domains τ+(n1) и nIV

Gulmirza Kh. Khudayberganov, Jonibek Sh. Abdullayev

National University of Uzbekistan, Tashkent, Uzbekistan
Full-text PDF (136 kB) Citations (7)
References:
Abstract: In this paper, a connection has been established between the Bergman and Cauchy-Szegö kernels using the biholomorphic equivalence of the domains τ+(n1) and the Lie ball nIV. Moreover, integral representations of holomorphic functions in these domains are obtained.
Keywords: classical domains, Lie ball, future tube, Shilov's boundary, Jacobian, Bergman's kernel, Cauchy-Szegö's kernel, Poisson's kernel.
Funding agency Grant number
Academy of Sciences of the Republic of Uzbekistan OT-F4-37
OT-F4-29
Ministry of Innovative Development of the Republic of Uzbekistan
OT-F4-(37+29) Functional properties of A-analytical functions and their applications. Some problems of complex analysis in matrix domains (2017--2021 y.) Ministry of Innovative Development of the Republic of Uzbekistan.
Received: 02.05.2020
Received in revised form: 30.05.2020
Accepted: 08.07.2020
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: English
Citation: Gulmirza Kh. Khudayberganov, Jonibek Sh. Abdullayev, “Relationship between the Bergman and Cauchy-Szegö in the domains τ+(n1) и nIV”, J. Sib. Fed. Univ. Math. Phys., 13:5 (2020), 559–567
Citation in format AMSBIB
\Bibitem{KhuAbd20}
\by Gulmirza~Kh.~Khudayberganov, Jonibek~Sh.~Abdullayev
\paper Relationship between the Bergman and Cauchy-Szeg\"{o} in the domains $\tau ^{+}(n-1)$ и $\Re _{IV}^{n}$
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2020
\vol 13
\issue 5
\pages 559--567
\mathnet{http://mi.mathnet.ru/jsfu862}
\crossref{https://doi.org/10.17516/1997-1397-2020-13-5-559-567}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000580315300004}
Linking options:
  • https://www.mathnet.ru/eng/jsfu862
  • https://www.mathnet.ru/eng/jsfu/v13/i5/p559
  • This publication is cited in the following 7 articles:
    1. Gulmirza Kh. Khudaiberganov, Kutlimurot S. Erkinboev, “Some properties of the automorphisms of the classical domain of the first type in the space $\mathbb{C}\left[ m\times n \right]$”, Zhurn. SFU. Ser. Matem. i fiz., 17:3 (2024), 295–303  mathnet
    2. Uktam S. Rakhmonov, Jonibek Sh. Abdullayev, “On properties of the second type matrix ball $B_{m,n}^{(2)}$ from space ${\mathbb C}^{n}[m\times m]$”, Zhurn. SFU. Ser. Matem. i fiz., 15:3 (2022), 329–342  mathnet  crossref  mathscinet
    3. U. S. Rakhmonov, Z. K. Matyakubov, “Carleman's formula for the matrix domains of Siegel”, Chebyshevskii sb., 23:4 (2022), 126–135  mathnet  crossref
    4. 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  mathnet  crossref
    5. Gulmirza Kh. Khudayberganov, Jonibek Sh. Abdullayev, “Laurent-Hua Loo-Keng series with respect to the matrix ball from space ${{\mathbb{C}}^{n}}\left[ m\times m \right]$”, Zhurn. SFU. Ser. Matem. i fiz., 14:5 (2021), 589–598  mathnet  crossref
    6. J. Sh. Abdullayev, “Estimates the Bergman kernel for classical domains É. Cartan's”, Chebyshevskii sb., 22:3 (2021), 20–31  mathnet  crossref
    7. Jonibek Sh. Abdullayev, “An analogue of Bremermann's theorem on finding the Bergman kernel for the Cartesian product of the classical domains ${{\Re }_{I}}\left( m,k \right)$ and ${{\Re }_{II}}\left( n \right)$”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2020, no. 3, 88–96  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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