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Citation - WoS: 3
Citation - Scopus: 3
Description of the Structure of Arbitrary Functions of the Laplace-Beltrami Operator in Hyperbolic Space
(Taylor & Francis Ltd, 2013) Guseinov, Gusein Sh
We describe the structure of an arbitrary rapidly decreasing function of the Laplace-Beltrami operator in n-dimensional hyperbolic space showing that the function of the Laplace-Beltrami operator is an integral operator and giving an explicit formula for its kernel.
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.
Citation - WoS: 65
Citation - Scopus: 69
On the Concept of Spectral Singularities
(indian Acad Sciences, 2009) Guseinov, Gusein Sh
In this paper, we discuss the concept of spectral singularities for non-Hermitian Hamiltonians. We exihibit spectral singularities of some well-known concrete Hamiltonians with complex-valued coefficients.