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On convergence of spectral expansions of Dirac operators with regular boundary conditions

A. S. Makin

2022Mathematische Nachrichten18 citationsDOI

Abstract

Abstract Spectral problems for the Dirac operator with regular but not strongly regular boundary conditions and complex‐valued potential summable over a finite interval are 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.

Topics & Concepts

MathematicsDirac operatorDirac (video compression format)Convergence (economics)Basis (linear algebra)Operator (biology)Interval (graph theory)Boundary (topology)Mathematical analysisRiesz potentialBoundary value problemFunction (biology)Pure mathematicsCombinatoricsGeometryQuantum mechanicsTranscription factorRepressorChemistryEvolutionary biologyEconomicsGenePhysicsBiochemistryBiologyEconomic growthNeutrinoSpectral Theory in Mathematical PhysicsNumerical methods in inverse problemsAdvanced Mathematical Modeling in Engineering
On convergence of spectral expansions of Dirac operators with regular boundary conditions | Litcius