From Complex Analysis to Operator Theory: A Panorama : In Memory of Sergey Naboko / edited by Malcolm Brown, Fritz Gesztesy, Pavel Kurasov, Ari Laptev, Barry Simon, Gunter Stolz, Ian Wood.

Format:

Book

Contributor:

Brown, Malcolm, editor.

Series:

Operator Theory: Advances and Applications, 2296-4878 ; 291

Language:

English

Subjects (All):

Operator theory.

Operator Theory.

Local Subjects:

Operator Theory.

Physical Description:

1 online resource (731 pages)

Edition:

1st ed. 2023.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2023.

Summary:

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.

Contents:

Part I On Some of Sergey’s Works

Working with Sergey Naboko on Boundary Triples

Operator-Valued Nevanlinna–Herglotz Functions, Trace Ideals, and Sergey Naboko’s Contributions

Mathematical Heritage of Sergey Naboko: Functional Models of Non-Self-Adjoint Operators

On Crossroads of Spectral Theory with Sergey Naboko

Sergey Naboko’s 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 δ-potentials Supported on Unbounded Lipschitz Hypersurfaces

Improved Lieb–Thirring 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 Kato’s 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

Weyl’s Law under Minimal Assumptions

Weyl–Titchmarsh M-Functions for ϕ-Periodic Sturm–Liouville Operators in Terms of Green’s Functions

On Discrete Spectra of Bergman–Toeplitz 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.

Notes:

Includes bibliographical references.

ISBN:

3-031-31139-6