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Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic case

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 نشر من قبل Sergey Simonov
 تاريخ النشر 2010
  مجال البحث
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We consider a class of Jacobi matrices with periodically modulated diagonal in a critical hyperbolic (double root) situation. For the model with non-smooth matrix entries we obtain the asymptotics of generalized eigenvectors and analyze the spectrum. In addition, we reformulate a very helpful theorem from a paper of Janas and Moszynski in its full generality in order to serve the needs of our method.



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