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Exact estimate for the spectral function of the singular Schrödinger operator

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Publication:1096089
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DOI10.1007/BF01848084zbMath0633.35056MaRDI QIDQ1096089

István Joó

Publication date: 1987

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)


zbMATH Keywords

spectral functionsingular Schrödinger operatorssummability for the eigenfunction expansions


Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Convergence and divergence of series and sequences of functions (40A30) Series solutions to PDEs (35C10) Schrödinger operator, Schrödinger equation (35J10)


Related Items

Local uniform convergence of the Riesz means of Laplace and Dirac expansions ⋮ On the optimal control of circular membranes ⋮ On the convergence of eigenfunction expansions ⋮ On the control of a rectangular membrane ⋮ Local uniform convergence of the eigenfunction expansion associated with the Laplace operator. I ⋮ Local uniform convergence of the eigenfunction expansion associated with the Laplace operator. II



Cites Work

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  • On the summability of eigenfunction expansions. I
  • Zeroes of Schrödinger eigenfunctions at potential singularities
  • The spectral function of an elliptic operator
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