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  • Introduction to the Spectral Theory of Polynomial Operator Pencils

Introduction to the Spectral Theory of Polynomial Operator Pencils

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Contains an exposition of the foundations of the spectral theory of polynomial operator pencils acting in a Hilbert space. The author devotes most of his attention to the fundamental results of Keldysh on multiple completeness of the eigenvectors and associate vectors of a pencil, and on the asymptotic behavior of its eigenvalues and generalizations of these results.
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