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We study the asymptotic behavior of individual eigenvalues of the n × n truncations of certain infinite Hessenberg Toeplitz matrices as n goes to infinity. The generating function of the Toeplitz matrices is supposed to be of the form a(t) = t −1 (1−t) α f (t) (t ∈ T), where α is a positive real number but not an integer and f is a smooth function in H ∞.(More)
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