Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (5)
- Authors
- Khudayberganov, Gulmirza Kh.; Abdullayev, Jonibek Sh.
- Contact information
- Khudayberganov, Gulmirza Kh.: National University of Uzbekistan Tashkent, Uzbekistan; ; Abdullayev, Jonibek Sh.: National University of Uzbekistan Tashkent, Uzbekistan;
- Keywords
- matrix ball; Laurent series; holomorphic function; Shilov’s boundary; Bochner-Hua Luogeng integral; orthonormal system
- Abstract
The aim of this work is to obtain multidimensional analogs of the Laurent series with respect to the matrix ball from space Cn [m × m]. To do this, we first introduce the concept of a "layer of the matrix ball" from Cn [m × m], then in this layer of the matrix ball, we use the properties of integrals of the Bochner-Hua Luogeng type to obtain analogs of the Laurent ser
- Pages
- 589–598
- DOI
- 10.17516/1997-1397-2021-14-5-589-598
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/143733
Journal of Siberian Federal University. Mathematics & Physics / Laurent-Hua Luogeng Series with Respect to the Matrix Ball from Space Cn [m × m]
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