论文信息 - Some Spectral Properties of Infinite Band Matrices

Some Spectral Properties of Infinite Band Matrices

For operators generated by a certain class of infinite band matrices we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying higher order recurrence relations. This enables us to describe some asymptotic behaviour of the corresponding systems of vector orthogonal polynomials. Finally, we provide some new convergence results for matrix Padé approximants.

Bernhard Beckermann | A. Osipov | B. Beckermann | A. Osipov

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