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Spectral asymptotics of the Sturm-Liouville operator on the half-line with potential tending to \(-\infty\). I

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Publication:1000123
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DOI10.1134/S0012266108050078zbMath1182.34107OpenAlexW2102226324MaRDI QIDQ1000123

A. S. Pechentsov, Anton Yu. Popov

Publication date: 4 February 2009

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

Full work available at URL: https://doi.org/10.1134/s0012266108050078


zbMATH Keywords

potentialasymptotic behaviordensitySturm-Liouville operatorspectral measure


Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)





Cites Work

  • Spectral Asymptotics for Sturm-Liouville Equations
  • Unnamed Item
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