Correction to: “Jost asymptotics for matrix orthogonal polynomials on the real line”. (English) Zbl 1522.33008
From the text: Our article [ibid. 36, No. 2, 267–309 (2012; Zbl 1276.33015)] had a few typos and mistakes that need to be addressed. The most essential one was pointed out to us by J. S. Geronimo and P. Iliev [“Bernstein-Szegő measures in the plane”, Preprint, arXiv:2207.14383]: [Zbl 1276.33015, Lemma 2.19] was incorrect as stated. Below we provide the corrected statement. The author is grateful to J. Geronimo and P. Iliev for spotting the error. We also fix other minor typos and inaccuracies in [Zbl 1276.33015].
MSC:
| 33C45 | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) |
Citations:
Zbl 1276.33015References:
| [1] | Dajić, A.; Koliha, JJ, Equations \(Ax=c\) and \(Xb=d\) in rings and rings with involution with applications to Hilbert space operators, Linear Algebra Appl., 429, 7, 1779-1809 (2008) · Zbl 1149.47011 · doi:10.1016/j.laa.2008.05.012 |
| [2] | Geronimo, J.S., Iliev, P.: Bernstein-Szegő measures in the plane. arXiv:2207.14383 · Zbl 1367.47037 |
| [3] | Khatri, CG; Mitra, SK, Hermitian and nonnegative definite solutions of linear matrix equations, SIAM J. Appl. Math., 31, 4, 579-85 (1976) · Zbl 0359.65033 · doi:10.1137/0131050 |
| [4] | Kozhan, R., Jost asymptotics for matrix orthogonal polynomials on the real line, Constr. Approx., 36, 267-309 (2012) · Zbl 1276.33015 · doi:10.1007/s00365-012-9155-1 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
