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Citation - WoS: 3
Citation - Scopus: 3
A Class of Complex Solutions To the Finite Toda Lattice
(Pergamon-elsevier Science Ltd, 2013) Guseinov, Gusein Sh.
In this paper, a class of complex-valued solutions to the finite Toda lattice is constructed by using the inverse spectral method. The corresponding Lax operator is a finite complex Jacobi matrix. As the initial values there are taken such complex numbers that the corresponding Jacobi matrix has a simple spectrum. Some examples are given. (C) 2012 Elsevier Ltd. All rights reserved.
On the Functions of Two Commuting Laplace-Beltrami Operators in Hyperbolic Space
(Pergamon-elsevier Science Ltd, 2014) Guseinov, Gusein Sh
We describe the structure of arbitrary rapidly decreasing two-variable function of two commuting Laplace-Beltrami operators in the product of two many-dimensional hyperbolic spaces showing that the function of the commuting Laplace-Beltrami operators is an integral operator and giving an explicit formula for its kernel.