On the completeness of systems of root vectors for first-order systems: application to the Regge problem

DOI10.1134/S1064562413060148zbMath1304.34143MaRDI QIDQ403881

Anton A. Lunyov, Mark M. Malamud

Publication date: 29 August 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (5)

On spectral synthesis for dissipative Dirac type operators ⋮ On the completeness of eigenfunctions of a discontinuous Dirac operator with an eigenparameter in the boundary condition ⋮ On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations ⋮ Completeness property of one-dimensional perturbations of normal and spectral operators generated by first order systems ⋮ The Dirac operator with complex-valued summable potential

Cites Work

• A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions
• On the completeness of root subspaces of boundary value problems for first order systems of ordinary differential equations
• Spectral analysis of the {R}egge problem
• Spectral analysis of the Regge problem with parameters
• Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators
• Analytic properties of the scattering matrix
• Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
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