This volume is dedicated to the memory of Sergey Naboko (1950-2020). In addition to original research contributions covering the vast areas of interest of Sergey Naboko, it includes personal reminiscences and comments on the works and legacy of Sergey Naboko’s scientific achievements. Areas from complex analysis to operator theory, especially, spectral theory, are covered, and the papers will inspire current and future researchers in these areas.
Part I On Some of Sergeys Works.- Working with Sergey Naboko on
Boundary Triples.- Operator-Valued NevanlinnaHerglotz Functions, Trace
Ideals, and Sergey Nabokos Contributions.- Mathematical Heritage of Sergey
Naboko: Functional Models of Non-Self-Adjoint Operators.- On Crossroads of
Spectral Theory with Sergey Naboko.- Sergey Nabokos Legacy on the Spectral
Theory of Jacobi Operators.- On theWork by Serguei Naboko on the Similarity
to Unitary and Selfadjoint Operators.- Part II Research Contributions.-
Functional Models of Symmetric and Selfadjoint Operators.- Schrödinger
Operators with -potentials Supported on Unbounded Lipschitz Hypersurfaces.-
Improved LiebThirring Type Inequalities for Non-selfadjoint Schrödinger
Operators.- Ballistic Transport in Periodic and Random Media.- On the
Spectral Theory of Systems of First Order Equations with Periodic
Distributional Coefficients.- Asymptotic Analysis of Operator Families and
Applications to Resonant Media.- On the Number and Sums of Eigenvalues of
Schrödinger-type Operators with Degenerate Kinetic Energy.- Gap Labelling for
Discrete One-Dimensional Ergodic Schrödinger Operators.- Degenerate Elliptic
Operators and Katos Inequality.- Generalized Indefinite Strings with Purely
Discrete Spectrum.- Soliton Asymptotics for the KdV Shock Problem of Low
Regularity.- Realizations of Meromorphic Functions of Bounded Type.- Spectral
Transition Model with the General Contact Interaction.- Weyls Law under
Minimal Assumptions.- WeylTitchmarsh M-Functions for -Periodic
SturmLiouville Operators in Terms of Greens Functions.- On Discrete Spectra
of BergmanToeplitz Operators with Harmonic Symbols.- One Dimensional
Discrete Schrödinger Operators with Resonant Embedded Eigenvalues.- On the
Invariance Principle for a Characteristic Function.- A Trace Formula and
Classical Solutions to the KdV Equation.- Semiclassical Analysis in the Limit
Circle Case.
