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Levinson formula for perturbed Hill operator

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Publication:1063163
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DOI10.1007/BF01033522zbMath0573.34022MaRDI QIDQ1063163

Natalie E. Firsova

Publication date: 1985

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

periodic potentialLevinson formulaLevinson seriesone-dimensional perturbed Hill operator


Mathematics Subject Classification ID

Ordinary differential operators (34L99)


Related Items

On relativistic energy band corrections in the presence of periodic potentials, Scattering for step-periodic potentials in one dimension, Continuity of the S matrix for the perturbed Hill’s equation, Perturbation of the Hill operator by narrow potentials, SCATTERING THEORY FOR LATTICE OPERATORS IN DIMENSION d ≥ 3, Absolute summability of the trace relation for certain Schrödinger operators, Asymptotics of the \(S\)-matrix for perturbed Hill operators



Cites Work

  • Inverse scattering. I. One dimension
  • Unnamed Item
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