Characterization of Hill operators with analytic potentials

DOI10.1007/BF01203177zbMath0994.34015MaRDI QIDQ5952401

V. A. Tkachenko

Publication date: 5 March 2002

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

zbMATH Keywords

Hill operatorsperiodic complex-valued potentials

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items

Hill's potentials in weighted Sobolev spaces and their spectral gaps, A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions, Spectral gaps of the periodic Schrödinger operator when its potential is an entire function., The isospectral torus of quasi-periodic Schrödinger operators via periodic approximations, On the periodic KdV equation in weighted Sobolev spaces, A criterion for Hill operators to be spectral operators of scalar type

Cites Work

• Spectral theory of Schrödinger operators with periodic complex-valued potentials
• Smoothness of Schrödinger operator potential in the case of Gevrey type asymptotics of the gaps.
• Spectral parametrization of non-selfadjoint Hill's operators
• Spectra of non-selfadjoint Hill's operators and a class of Riemann surfaces
• The inverse problem for periodic potentials
• Maximal ideals in modular group algebras of the finitary symmetric and alternating groups
• Estimates on the Stability Intervals for Hill's Equation
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