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A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter

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Abstract

We establish a criterion for a set of eigenfunctions of the one-dimensional Schrödinger operator with distributional potentials and boundary conditions containing the eigenvalue parameter to be a Riesz basis for \({\mathscr {L}}_2(0,\pi )\).

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, 9 B. Vahabzadeh str., AZ1141, Baku, Azerbaijan

    Namig J. Guliyev

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  1. Namig J. Guliyev
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Correspondence to Namig J. Guliyev.

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Guliyev, N.J. A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter. Anal.Math.Phys. 10, 2 (2020). https://doi.org/10.1007/s13324-019-00348-0

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  • DOI: https://doi.org/10.1007/s13324-019-00348-0

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