From Complex Analysis to Operator Theory: A Panorama
Springer International Publishing (Verlag)
978-3-031-31141-3 (ISBN)
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 d-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 -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.
Erscheinungsdatum | 25.09.2024 |
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Reihe/Serie | Operator Theory: Advances and Applications |
Zusatzinfo | XLVI, 698 p. 1 illus. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Schlagworte | Complex Analysis • Exotic Spectral Properties • Jacobi operators • Non-self-adjoint Operators • operator theory • Random Hamiltonians • spectral theory |
ISBN-10 | 3-031-31141-8 / 3031311418 |
ISBN-13 | 978-3-031-31141-3 / 9783031311413 |
Zustand | Neuware |
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