Estimates of Riesz constants for the Dirac system with an integrable potential

DOI10.1134/S0012266118060046zbMath1433.34112MaRDI QIDQ1785016

I. V. Sadovnichaya, Artem M. Savchuk

Publication date: 27 September 2018

Published in: Differential Equations (Search for Journal in Brave)

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 (4)

Uniform basis property of root vector systems of Dirac operators ⋮ Solution algorithm of the inverse spectral problem for Dirac operator with a spectral parameter in the boundary condition ⋮ Estimates of spectral gap lengths for Schrödinger and Dirac operators ⋮ Asymptotic behavior of solutions of the Dirac system with an integrable potential

Cites Work

• Unnamed Item
• On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators
• Asymptotic formulas for fundamental solutions of the Dirac system with complex-valued integrable potential
• The Riesz basis property of generalized eigenspaces for a Dirac system with integrable potential
• Uniform asymptotics of the eigenvalues and eigenfunctions of the Dirac system with an integrable potential
• The Dirac operator with complex-valued summable potential
• Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions

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