Methods of Spectral Analysis in Mathematical Physics

by Janas, Jan; Kurasov, Pavel; Laptev, Ari; Naboko, Serguei; Stolz, Gunter

• ISBN13: 9783764387549
• ISBN10: 3764387548
• Format: Hardcover
• Copyright: 2008-12-04
• Publisher: Birkhauser

Summary

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 Schrodinger operators; Jacobi and CMV matrices and orthogonal polynomials; Quasi-periodic and random Schrodinger operators; Quantum graphs. Book jacket.

Table of Contents

Introduction	p. vii
Spectral Asymptotics of Percolation Hamiltonians on Amenable Cayley Graphs	p. 1
On Inverse Problems for Finite Trees	p. 31
Wave Operators for Nonlocal Sturm-Liouville Operators with Trivial Potential	p. 49
Semiclassical Results for Ideal Fermion Systems. A Review	p. 69
Quadratic Hamiltonians and Their Renormalization	p. 89
Jacobi Matrices: Eigenvalues and Spectral Gaps	p. 103
Eigenvalue Estimates for the Aharonov-Bohm Operator in a Domain	p. 115
The Ablowitz-Ladik Hierarchy Revisited	p. 139
On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants	p. 191
Higher Derivatives of Spectral Functions Associated with One-dimensional Schrodinger Operators	p. 217
On the Boundary Value Problem for p-parabolic Equations	p. 229
On the Rank One Dissipative Operator and the Parseval Formula	p. 241
On the Schrodinger Operator with Limit-periodic Potential in Dimension Two	p. 257
Similarity Problem for Non-self-adjoint Extensions of Symmetric Operators	p. 267
Inverse Scattering Problem for a Special Class of Canonical Systems and Non-linear Fourier Integral. Part I: Asymptotics of Eigenfunctions	p. 285
Remark on the Compensation of Singularities in Krein's Formula	p. 325
On Some Properties of Infinite-dimensional Elliptic Coordinates	p. 339
Finite Difference Operators with a Finite-Band Spectrum	p. 347
Connections Between Dynamical Systems and Crossed Products of Banach Algebras by Z	p. 391
Born-Oppenheimer-type Approximations for Degenerate Potentials: Recent Results and a Survey on the Area	p. 403
The Ornstein-Uhlenbeck Semigroup in Bounded and Exterior Lipschitz Domains	p. 415
List of Participants	p. 437
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