Higher order Nevanlinna functions and the inverse three spectra problem (Q2805258)

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scientific article; zbMATH DE number 6578885
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Higher order Nevanlinna functions and the inverse three spectra problem
scientific article; zbMATH DE number 6578885

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    Higher order Nevanlinna functions and the inverse three spectra problem (English)
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    10 May 2016
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    spectrum
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    eigenvalue
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    Dirichlet boundary condition
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    Neumann boundary condition
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    Marchenko equation
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    Nevanlinna function
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    In this paper the authors investigate the three spectra problem of recovering the coefficients \(q_{1}\) and \(q_{2}\) of the Sturm-Liouville equation by the spectrum of some boundary problems on different intervals. Additionally, the authors introduce the notion positive Nevanlinna function of higher order.
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