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On the convergence of eigenfunction expansion in the norm of Sobolev spaces

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Publication:1107741
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DOI10.1007/BF01949143zbMath0653.35067MaRDI QIDQ1107741

István Joó

Publication date: 1986

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


zbMATH Keywords

potentialSobolev spaceSchrödinger operatoreigenfunction expansionFriedrichs extensionself-adjointspectral family


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Schrödinger operator, Schrödinger equation (35J10)


Related Items (2)

Exact norm estimates for the singular Schrödinger operator ⋮ Notes to my paper ``On the convergence of eigenfunction expansion in the norm of Sobolev spaces




Cites Work

  • Zeroes of Schrödinger eigenfunctions at potential singularities
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