On the influence of the potential on the convergence rate of expansions in root functions of the Schrödinger operator (Q608936)

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scientific article; zbMATH DE number 5820355
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On the influence of the potential on the convergence rate of expansions in root functions of the Schrödinger operator
scientific article; zbMATH DE number 5820355

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    On the influence of the potential on the convergence rate of expansions in root functions of the Schrödinger operator (English)
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    29 November 2010
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    The influence of a complex valued potential on the convergence rate of expansions in root functions of a formal differential operator is investigated. The obtained estimations for the convergence rate depend on the modulus of continuity of the considered potential. It is pointed out that these estimates can be improved on absolutely continuous functions spaces.
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    Schrödinger operator
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    complex potential
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    root functions
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