Spectral parametrization of non-selfadjoint Hill's operators

DOI10.1006/jdeq.1996.0035zbMath0844.34088OpenAlexW2084728978MaRDI QIDQ1912526

Jean-Jacques Sansuc, Vadim A. Tkachenko

Publication date: 8 July 1996

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1996.0035

zbMATH Keywords

Hill operatorsperiodic potentialsspectral parametrization

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (11)

Characterization of the potential smoothness of one-dimensional Dirac operator subject to general boundary conditions and its Riesz basis property ⋮ A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions ⋮ Refined asymptotics of the spectral gap for the Mathieu operator ⋮ Inverse problems of spectral analysis for the Sturm-Liouville operator with regular boundary conditions. I ⋮ Periodic Jacobi operators with complex coefficients ⋮ Characterization of potential smoothness and the Riesz basis property of the Hill-Schrödinger operator in terms of periodic, antiperiodic and Neumann spectra ⋮ Characterization of Hill operators with analytic potentials ⋮ When is a non-self-adjoint Hill operator a spectral operator of scalar type? ⋮ On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators ⋮ A criterion for Hill operators to be spectral operators of scalar type ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach

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