Spectral Theory and Analysis [electronic resource] : Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2008, Bedlewo, Poland /
OTAMP 2008(2008 :Będlewo, Poland)
Conference on Operator Theory, Analysis and Mathematical Physics
Janas, Jan.editor.
Kurasov, Pavel.editor.
Laptev, A.editor.
Naboko, Sergei.editor.
Stolz, Günter.editor.
This volume contains the proceedings of the OTAMP 2008 (Operator Theory, Analysis and Mathematical Physics) conference held at the Mathematical Research and Conference Center in Bedlewo near Poznan. It is composed of original research articles describing important results presented at the conference, some with extended review sections, as well as presentations by young researchers. Special sessions were devoted to random and quasi-periodic differential operators, orthogonal polynomials, Jacobi and CMV matrices, and quantum graphs. The contributions also reflect new trends in spectral theory, where much emphasis is given to operators with magnetic fields and non-self-adjoint problems. The book is geared towards scientists from advanced undergraduate students to researchers interested in the recent development on the borderline between operator theory and mathematical physics, especially spectral theory for Schrödinger operators and Jacobi matrices.
Description based upon print version of record.
Spectral Theory and Analysis; Contents; Introduction; Floquet-Bloch Theory for Elliptic Problems with Discontinuous Coefficients; Representations of Compact Linear Operators in Banach Spaces and Nonlinear Eigenvalue Problems II; A Sharp Bound on Eigenvalues of Schrödinger Operators on the Half-line with Complex-valued Potentials; Zero-range Model of p-scattering by a Potential Well; The Similarity Problem for Non-selfadjoint Operators with Absolutely Continuous Spectrum: Restrictions to Spectral Subspaces; Generalized Eigenfunctions and Spectral Theory for Strongly Local Dirichlet Forms
Trace Formulas for Schrödinger Operators in Connection with Scattering Theory for Finite-gap BackgroundsInner-outer Factorization for Weighted Schur Class Functions and Corresponding Invariant Subspaces; Eigenvalue Asymptotics for Magnetic Fields and Degenerate Potentials; List of Participants
Includes bibliographical references.
This volume contains the proceedings of the OTAMP 2008 (Operator Theory, Analysis and Mathematical Physics) conference held at the Mathematical Research and Conference Center in Bedlewo near Poznan. It is composed of original research articles describing important results presented at the conference, some with extended review sections, as well as presentations by young researchers. Special sessions were devoted to random and quasi-periodic differential operators, orthogonal polynomials, Jacobi and CMV matrices, and quantum graphs. The contributions also reflect new trends in spectral theory, where much emphasis is given to operators with magnetic fields and non-self-adjoint problems. The book is geared towards scientists from advanced undergraduate students to researchers interested in the recent development on the borderline between operator theory and mathematical physics, especially spectral theory for Schrödinger operators and Jacobi matrices.
Operator theory.
Mathematical analysis.
Analysis (Mathematics).
Physics.
Operator Theory.
Analysis.
Mathematical Methods in Physics.
Operator theory