On Convergence of Spectral Expansions of Dirac Operators with Regular Boundary Conditions

2019/02/08 by A. S. Makin, Makin, Alexander
Computer Science · Mathematics · #34L10 #47A75 #47E05 #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #FOS: Mathematics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1902.02952

openalex publication_date 2019/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Spectral problem for the Dirac operator with regular but not strongly regular boundary conditions and complex-valued potential summable over a finite interval is considered. The purpose of this paper is to find conditions under which the root function system forms a usual Riesz basis rather than a Riesz basis with parentheses.

Related

• On a necessary condition of convergence of spectral expansions corresponding to the Dirac operators
• Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
• Equiconvergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
• On transformation operators and Riesz basis property of root vectors system for n × n Dirac type operators. Application to the Timoshenko beam model
• Riesz basicity with parentheses for Dirac system with summable potential