|
This article is cited in 2 scientific papers (total in 2 papers)
The Bergman and Cauchy–Szego kernels for matrix ball of the second type
Gulmirza Kh. Khudayberganov, Uktam S. Rakhmonov National university of Uzbekistan, Vuzgorodok, Tashkent, 100174,
Uzbekistan
Abstract:
With the use of holomorphic automorphism of the matrix ball of the second type the validity of the integral Bergman and Cauchy–Sege formulae is proven in this article.
Keywords:
matrix ball, Bergman kernel, Cauchy–Szego kernel, automorphism of the matrix ball.
Full text:
PDF file (134 kB)
References:
PDF file
HTML file
UDC:
517.55 Received: 10.05.2014 Received in revised form: 06.06.2014 Accepted: 19.06.2014
Language:
Citation:
Gulmirza Kh. Khudayberganov, Uktam S. Rakhmonov, “The Bergman and Cauchy–Szego kernels for matrix ball of the second type”, J. Sib. Fed. Univ. Math. Phys., 7:3 (2014), 305–310
Citation in format AMSBIB
\Bibitem{KhuRak14}
\by Gulmirza~Kh.~Khudayberganov, Uktam~S.~Rakhmonov
\paper The Bergman and Cauchy--Szego kernels for matrix ball of the second type
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2014
\vol 7
\issue 3
\pages 305--310
\mathnet{http://mi.mathnet.ru/jsfu375}
Linking options:
http://mi.mathnet.ru/eng/jsfu375 http://mi.mathnet.ru/eng/jsfu/v7/i3/p305
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
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
-
Gulmirza Kh. Khudayberganov, Jonibek Sh. Abdullayev, “Relationship between the Bergman and Cauchy-Szegö in the domains $\tau ^{+}(n-1)$ i $\Re _{IV}^{n}$”, Zhurn. SFU. Ser. Matem. i fiz., 13:5 (2020), 559–567
|
Number of views: |
This page: | 202 | Full text: | 96 | References: | 21 |
|