Methods of Spectral Analysis in Mathematical Physics: Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2006, Lund, SwedenJan Janas, Pavel Kurasov, A. Laptev, Sergei Naboko, Günter Stolz 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 Schrödinger operators; Jacobi and CMV matrices and orthogonal polynomials; Quasi-periodic and random Schrödinger operators; Quantum graphs. |
Contents
Brown and R Weikard | 30 |
Cheremnikh | 49 |
Combescure | 69 |
J Dereziński | 89 |
J Dombrowski | 103 |
Frank and A M Hansson | 114 |
F Gesztesy H Holden J Michor and G Teschl | 139 |
F Gesztesy M Mitrea and M Zinchenko | 191 |
P A Ivert | 229 |
Y Karpeshina and Y R | 257 |
S Kupin F Peherstorfer A Volberg and P Yuditskii | 285 |
A B Mikhailova and B S Pavlov | 324 |
A Osipov | 339 |
Svensson S Silvestrov and M de | 390 |
Wood | 414 |
List of Participants | 437 |
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Common terms and phrases
Ablowitz-Ladik absolutely continuous algebra Anal analytic assume asymptotic Birkhäuser bond percolation boundary bounded Cayley graph coefficients compute condition consider constant Corollary corresponding crossed product defined denote Department of Mathematics Dirichlet dissipative dissipative operator divisor eigenfunctions eigenvalues equation estimate exists finite formula Hamiltonians Hardy spaces hence Hilbert inequality integrable inverse Jacobi matrices L²(N Laplacian Lemma linear Lipschitz domains Lº(N Math Mathematics Subject Classification matrix Moreover Neumann non-self-adjoint non-zero notation Note percolation perturbation Phys polynomial potential Proof properties prove quantum random reproducing kernels respect satisfies scattering Schrödinger equation Schrödinger operators Section self-adjoint operator semiclassical semigroup sequence singular site percolation solution space spectral spectrum subspace Theorem theory unitary value problem vector Weyl zero λο