Abstract

We study a one-dimensional Dirac system on a finite interval. The potential (a matrix) is assumed to be complex- valued and integrable. The boundary conditions are assumed to be regular in the sense of Birkhoff. It is known that such an operator has a discrete spectrum and the system of its eigenfunctions and associated functions is a Riesz basis (possibly with brackets) in . Our results concern the basis property of this system in the spaces for , the Sobolev spaces for , and the Besov spaces .

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