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IMI/Publicaţii/BASM/Ediţii/BASM n.3(94), 2020/

An analogue of Bremermann’s theorem on finding the Bergman kernel for the Cartesian product of the classical domains ℜI (m, k) and ℜII (n)

Authors: Jonibek Sh. Abdullayev

Abstract

In this paper, an analogue of Bremermann’s theorem on finding the Bergman kernel is obtained for the Cartesian product of classical domains. For this purpose, the groups of automorphisms of the considered domains are used, i.e., the Bergman kernels are constructed for the Cartesian product of classical domains, with- out applying complete orthonormal systems.

”M. Ulugbek” National University of Uzbekistan,
Tashkent 100174, Uzbekistan.
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