Spectral Theory and Analysis: Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2008, Bedlewo, Poland

✍ Scribed by B. M. Brown, V. Hoang, M. Plum, I. G. Wood (auth.), Jan Janas, Pavel Kurasov, Ari Laptev, Sergei Naboko, Günter Stolz (eds.)

• Publisher: Birkhäuser Basel
• Year: 2011
• Tongue: English
• Leaves: 182
• Series: Operator Theory: Advances and Applications 214
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-ix
Floquet-Bloch Theory for Elliptic Problems with Discontinuous Coefficients....Pages 1-20
Representations of Compact Linear Operators in Banach Spaces and Nonlinear Eigenvalue Problems II....Pages 21-37
A Sharp Bound on Eigenvalues of Schrödinger Operators on the Half-line with Complex-valued Potentials....Pages 39-44
Zero-range Model of p -scattering by a Potential Well....Pages 45-66
The Similarity Problem for Non-selfadjoint Operators with Absolutely Continuous Spectrum: Restrictions to Spectral Subspaces....Pages 67-82
Generalized Eigenfunctions and Spectral Theory for Strongly Local Dirichlet Forms....Pages 83-106
Trace Formulas for Schrödinger Operators in Connection with Scattering Theory for Finite-gap Backgrounds....Pages 107-124
Inner-outer Factorization for Weighted Schur Class Functions and Corresponding Invariant Subspaces....Pages 125-134
Eigenvalue Asymptotics for Magnetic Fields and Degenerate Potentials....Pages 135-169
Back Matter....Pages 171-171

✦ Subjects

Operator Theory;Analysis;Mathematical Methods in Physics