On the domain of convergence and poles of complex \(J\)-fractions

DOI10.1006/jath.1998.3165zbMath0909.30002OpenAlexW1993137982MaRDI QIDQ1266122

D. Barrios Rolanía, E. Torrano Giménez, Guillermo López Lagomasino, Andrei Martínez-Finkelshtein

Publication date: 27 October 1998

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1998.3165

zbMATH Keywords

continued fractions\(J\)-fractionsasymptotic behaviour of polestridiagonal infinite matrices

Mathematics Subject Classification ID

Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items

Measures on the unit circle and unitary truncations of unitary operators, The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences, Finite sections method for Hessenberg matrices., Self-adjointness of unbounded tridiagonal operators and spectra of their finite truncations, Complex Jacobi matrices, Determinacy of bounded complex perturbations of Jacobi matrices, The spectrum of a periodic complex Jacobi matrix revisited, On the convergence of bounded \(J\)-fractions on the resolvent set of the corresponding second order difference operator, Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle

Cites Work

• Orthogonal polynomials, associated polynomials and functions of the second kind
• Classes of linear operators. Vol. I
• Polynomials generated by a three-term recurrence relation with asymptotically periodic complex coefficients
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