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- W4297510108 abstract "For one-dimensional Dirac operators $$ Ly= i begin{pmatrix} 1 & 0 0 & -1 end{pmatrix} frac{dy}{dx} + v y, quad v= begin{pmatrix} 0 & P Q & 0 end{pmatrix}, ;; y=begin{pmatrix} y_1 y_2 end{pmatrix}, $$ subject to periodic or antiperiodic boundary conditions, we give necessary and sufficient conditions which guarantee that the system of root functions contains Riesz bases in $L^2 ([0,pi], mathbb{C}^2).$ In particular, if the potential matrix $v$ is skew-symmetric (i.e., $overline{Q} =-P$), or more generally if $overline{Q} =t P$ for some real $t neq 0,$ then there exists a Riesz basis that consists of root functions of the operator $L.$" @default.
- W4297510108 created "2022-09-29" @default.
- W4297510108 creator A5083206513 @default.
- W4297510108 creator A5084533380 @default.
- W4297510108 date "2011-08-21" @default.
- W4297510108 modified "2023-09-24" @default.
- W4297510108 title "Riesz bases consisting of root functions of 1D Dirac operators" @default.
- W4297510108 doi "https://doi.org/10.48550/arxiv.1108.4225" @default.
- W4297510108 hasPublicationYear "2011" @default.
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