On inverse spectral theory for selfadjoint extensions: Mixed types of spectra

DOI10.1006/jfan.1997.3190zbMath0997.47005OpenAlexW2091950597MaRDI QIDQ1270224

Sergio A. Albeverio, Hagen Neidhardt, Johannes F. Brasche

Publication date: 17 September 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3190

zbMATH Keywords

selfadjoint operatorselfadjoint extensionsselfadjoint realizations of the Laplacian on a bounded domain

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Dilations, extensions, compressions of linear operators (47A20)

Related Items

Construction of self‐adjoint differential operators with prescribed spectral properties, On creating new essential spectrum by self-adjoint extension of gapped operators, Singularly continuous spectrum of singularly perturbed operators, An example of unitary equivalence between self-adjoint extensions and their parameters, Singular Schrödinger operators with prescribed spectral properties, Weyl function and spectral properties of self-adjoint extensions, On semibounded restrictions of self-adjoint operators, Inverse spectral theory for symmetric operators with several gaps: scalar-type Weyl functions

Cites Work

• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• The essential spectrum of Neumann Laplacians on some bounded singular domains
• A generalization of the Birman trace theorem
• On the point spectrum of selfadjoint extensions
• Operators with singular continuous spectrum. II: Rank one operators
• On the absolutely continuous spectrum of self-adjoint extensions
• On the singular continuous spectrum of self-adjoint extensions
• Pure point spectrum under 1-parameter perturbations and instability of Anderson localization
• On the completeness of wave operators under loss of local compactness
• On boundary conditions for multi-dimensional Brownian motions with symmetric resolvent densities
• The Neumann Laplacian of a Jelly Roll
• Discrete and Cantor Spectrum for Neumann Laplacians of Combs
• Some Remarks on Krein's Extension Theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item