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Estimation of the Cauchy function for finite-zone nonperiodic potentials

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Publication:1316811
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DOI10.1007/BF01075268zbMath0792.34076MaRDI QIDQ1316811

Boris Moiseevich Levitan, Aknazar B. Khasanov

Publication date: 12 April 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

spectrumCauchy functionuniform estimatefinite-zone nonperiodic potential


Mathematics Subject Classification ID

Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)


Related Items (1)

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Cites Work

  • Asymptotics for \(t\to \infty\) of the solution to the Cauchy problem for the Korteweg-de Vries equation in the class of potentials with finite-gap behavior as \(x\to \pm \infty\)
  • Large-time asymptotics of the solution of the nonlinear Schrödinger equation with boundary conditions of step type
  • E-compact extensions of topological spaces
  • Indicators of an entire function and the regularity of the growth of the Fourier coefficients of the logarithm of its modulus
  • The inverse problem for periodic potentials
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