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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
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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.
E-mail:
Tashkent 100174, Uzbekistan.
E-mail:
Fulltext
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Contents
- On solutions of the kinetic McKean system
- Coincidence and common fixed points theorem with an application in dynamic programming
- Free left k-nilpotent n-tuple semigroups
- Almost Periodic and Almost Automorphic Solutions of Monotone Differential Equations with a Strict Monotone First Integral*
- On semigroups of endomorphisms of universal algebras
- 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)
- Numerical simulation of nonlinear processes in semiconductor devices with the application of the Newtons method for linearization
