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Regularized traces of higher-order singular differential operators

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Publication:948555
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DOI10.1134/S0001434608010057zbMath1159.34354MaRDI QIDQ948555

A. S. Pechentsov, A. I. Kozko

Publication date: 16 October 2008

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

Hilbert spacespectral functionSturm-Liouville problemGreen functionregularized traceself-adjoint extensionsingular differential operator


Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)


Related Items (1)

Formula of regularized traces



Cites Work

  • Spectral functions and regularized traces of singular differential operators of higher orders
  • Asymptotics of the spectrum of the differential operator \(-y^{\prime\prime} + q(x)y\) with a boundary condition at zero and with rapidly growing potential
  • Traces of operators with relatively compact perturbations
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