Jacobi matrices with gaps in the spectrum: asymptotics of the generalized eigenvectors and the spectral structure

Thursday, March 13, 2014 - 3:30pm
MSB 111
Sergey Naboko (St. Petersburg / Miller Scholar)

The asymptotic behavior of the eigenvectors and generalized eigenvectors for the spectral parameter belonging to a gap in the spectrum (or in the essential spectrum) will be considered. The main goal is to discuss the so-called Combes-Thomas-type estimates for (unbounded) Jacobi matrices, generalizing well-known results for the case of continuous Schrodinger operators. We also plan to present some applications of the eigenvector analysis. The presentation is based on joint work with J. Janas and G. Stolz.

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