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Asymptotic Behavior of Generalized Eigenvectors of Jacobi Matrices in the Critical (“Double Root”) Case
This paper is concerned with asymptotic behavior of generalized eigenvectors of a class of Hermitian Jacobi matrices J in the critical case. The last means that the fraction \frac {q_n} {λ_n} generated by the diagonal entries q_n of J and its subdiagonal elements λ_n has the limit ±2 . In …