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Estimation of the Green function of the singular Schrödinger operator - MaRDI portal

Estimation of the Green function of the singular Schrödinger operator (Q1079733)

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scientific article; zbMATH DE number 3964483
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Estimation of the Green function of the singular Schrödinger operator
scientific article; zbMATH DE number 3964483

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    Estimation of the Green function of the singular Schrödinger operator (English)
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    1985
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    The author considers the Schrödinger operator \(L=-\Delta +q(x)\) in a bounded, smooth domain of \({\mathbb{R}}^ N\), \(N>3\). For a class of real positive singular potentials q he gives an estimate for the Green function G(x,y,\(\mu)\) of \(\hat L\mu\), \(\hat L\) being an arbitrary positive selfadjoint extension of L, \(\mu\in {\mathbb{C}}\), \(| \arg \mu - \pi /2| <\pi /2-\epsilon\), \(\epsilon >0\).
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    Schrödinger operator
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    real positive singular potentials
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    Green function
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