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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