Completeness and Riesz basis property of systems of eigenfunctions and associated functions of Dirac-type operators with boundary conditions depending on the spectral parameter

DOI10.1007/s11006-006-0067-xzbMath1134.34335OpenAlexW1982110030MaRDI QIDQ881042

Leonid L. Oridoroga, Hassi, Seppo

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0067-x

zbMATH Keywords

Dirac operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (6)

On the properties of the root vector function systems of a \(2m\)th-order Dirac type operator with an integrable potential ⋮ A nonself-adjoint 1D singular Hamiltonian system with an eigenparameter in the boundary condition ⋮ Bari–Markus property for Riesz projections of 1D periodic Dirac operators ⋮ The damped string problem revisited ⋮ Bessel property and basicity of the system of root vector-functions of Dirac operator with summable coefficient ⋮ Unnamed Item

Cites Work

• Factorization of a weakly hyperbolic bundle
• Riesz basis of root vectors of a non-symmetric system of first-order ordinary differential operators and application to inverse eigenvalue problems
• Spectral properties and an inverse eigenvalue problem for non-symmetric systems of ordinary differential operators
• Completeness theorems for systems of differential equations
• Unnamed Item
• Unnamed Item

This page was built for publication: Completeness and Riesz basis property of systems of eigenfunctions and associated functions of Dirac-type operators with boundary conditions depending on the spectral parameter