Non-selfadjoint periodic Dirac operators with finite-band spectra

DOI10.1007/BF01213927zbMath0956.34075MaRDI QIDQ1566822

V. A. Tkachenko

Publication date: 7 March 2001

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

monodromyDirac operatorsperiodic Dirac operatorfinite-band spectraskew symmetric potential matrix

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Inverse problems involving ordinary differential equations (34A55)

Related Items (4)

On periodic and antiperiodic spectra of non-self-adjoint Dirac operators ⋮ On the spectrum of non-self-adjoint Dirac operators with quasi-periodic boundary conditions ⋮ On the spectrum of two-point boundary value problems for the Dirac operator ⋮ On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators

Cites Work

• Poisson structure for the KdV equation
• Picard potential and Hill's equation on a torus
• On Picard potentials
• Spectra of non-selfadjoint Hill's operators and a class of Riemann surfaces
• Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach
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