Abstract:GRZEGORZ ŚWIDERSKI AND BARTOSZ TROJAN
A. We study Jacobi matrices with -periodically modulated recurrence coefficients when the sequence of -step transfer matrices is convergent to a non-trivial Jordan block. In particular, we describe asymptotic behavior of their generalized eigenvectors, we prove convergence of -shifted Turán determinants as well as of the Christoffel-Darboux kernel on the diagonal. Finally, by means of subordinacy theory, we identify their absolutely continuous spectrum as well as their ess… Show more
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