Mathematical Heritage of Sergey Naboko: Functional Models of Non-Self-Adjoint Operators
Alexander V. Kiselev, Vladimir Ryzhov
TL;DR
This paper reviews Sergey Naboko's contributions to the development of functional models for non-self-adjoint operators, focusing on spectral analysis and scattering theory within these models.
Contribution
It provides a comprehensive overview of Naboko's work on constructing functional models and analyzing spectra and scattering for non-self-adjoint operators.
Findings
Development of functional models for non-self-adjoint operators
Analysis of absolutely continuous and singular spectra
Construction of scattering theory in model terms
Abstract
This is an overview of mathematical heritage of Sergey Naboko in the area of functional models of non-self-adjoint operators. It covers the works by Sergey in model construction, the analysis of absolutely continuous and singular spectra and the construction of the scattering theory in model terms.
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Taxonomy
Topicsadvanced mathematical theories · Crystallography and Radiation Phenomena · Algebraic and Geometric Analysis