Methods of Spectral Analysis in Mathematical Physics: Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2006, Lund, Sweden

ISBN-13: 9783764387549 / Angielski / Twarda / 2008 / 443 str.

Jan Janas; Pavel Kurasov; Ari Laptev

Opis

The volume contains the proceedings of the OTAMP 2006 (Operator Theory, Analysis and Mathematical Physics) conference held at Lund University in June 2006. The conference was devoted to the methods of analysis and operator theory in modern mathematical physics. The following special sessions were organized: Spectral analysis of Schrodinger operators; Jacobi and CMV matrices and orthogonal polynomials; Quasi-periodic and random Schrodinger operators; Quantum graphs.

Spis treści

Spectral Asymptotics of Percolation Hamiltonians on Amenable Cayley Graphs.- On Inverse Problems for Finite Trees.- Wave Operators for Nonlocal Sturm-Liouville Operators with Trivial Potential.- Semiclassical Results for Ideal Fermion Systems. A Review.- Quadratic Hamiltonians and Their Renormalization.- Jacobi Matrices: Eigenvalues and Spectral Gaps.- Eigenvalue Estimates for the Aharonov-Bohm Operator in a Domain.- The Ablowitz-Ladik Hierarchy Revisited.- On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants.- Higher Derivatives of Spectral Functions Associated with One-Dimensional Schrödinger Operators.- On the Boundary Value Problem for p-parabolic Equations.- On the Rank One Dissipative Operator and the Parseval Formula.- On the Schrödinger Operator with Limit-periodic Potential in Dimension Two.- Similarity Problem for Non-self-adjoint Extensions of Symmetric Operators.- Inverse Scattering Problem for a Special Class of Canonical Systems and Non-linear Fourier Integral. Part I: Asymptotics of Eigenfunctions.- Remark on the Compensation of Singularities in Krein’s Formula.- On Some Properties of Infinite-dimensional Elliptic Coordinates.- Finite Difference Operators with a Finite-Band Spectrum.- Connections Between Dynamical Systems and Crossed Products of Banach Algebras by ?.- Born-Oppenheimer-type Approximations for Degenerate Potentials: Recent Results and a Survey on the Area.- The Ornstein-Uhlenbeck Semigroup in Bounded and Exterior Lipschitz Domains.