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 during the conference: Spectral analysis of Schrödinger operators; Jacobi and CMV matrices and orthogonal polynomials; Quasi-periodic and random Schrödinger operators; Quantum graphs.
Author(s): Jan Janas, Pavel Kurasov, Ari Laptev, Sergei Naboko, Gunter Stolz
Edition: 1
Year: 2008
Language: English
Pages: 437
Contents......Page 6
Introduction......Page 8
Spectral Asymptotics of Percolation Hamiltonians on Amenable Cayley Graphs......Page 9
On Inverse Problems for Finite Trees......Page 38
Wave Operators for Nonlocal Sturm-Liouville Operators with Trivial Potential......Page 56
Semiclassical Results for Ideal Fermion Systems. A Review......Page 76
Quadratic Hamiltonians and Their Renormalization......Page 95
Jacobi Matrices: Eigenvalues and Spectral Gaps......Page 109
Eigenvalue Estimates for the Aharonov-Bohm Operator in a Domain......Page 120
The Ablowitz–Ladik Hierarchy Revisited......Page 143
On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants......Page 195
Higher Derivatives of Spectral Functions Associated with One-dimensional Schrödinger Operators......Page 220
On the Boundary Value Problem for p-parabolic Equations......Page 232
On the Rank One Dissipative Operator and the Parseval Formula......Page 243
On the Schrödinger Operator with Limit-periodic Potential in Dimension Two......Page 259
Similarity Problem for Non-self-adjoint Extensions of Symmetric Operators......Page 268
Inverse Scattering Problem for a Special Class of Canonical Systems and Non-linear Fourier Integral. Part I: Asymptotics of Eigenfunctions......Page 285
Remark on the Compensation of Singularities in Krein's Formula......Page 324
On Some Properties of Infinite-dimensional Elliptic Coordinates......Page 337
Finite Difference Operators with a Finite-Band Spectrum......Page 345
Connections Between Dynamical Systems and Crossed Products of Banach Algebras by Z......Page 388
Born-Oppenheimer-type Approximations for Degenerate Potentials: Recent Results and a Survey on the Area......Page 399
The Ornstein-Uhlenbeck Semigroup in Bounded and Exterior Lipschitz Domains......Page 410
List of Participants......Page 431
