Asymptotic behavior of Christoffel–Darboux kernel via three-term recurrence relation II
نویسندگان
چکیده
We study orthogonal polynomials with periodically modulated Jacobi parameters in the case when 0 lies on soft edge of spectrum corresponding periodic matrix. determine orthogonality measure is absolutely continuous and we provide a constructive formula for it terms limit Turán determinants. next consider asymptotics solutions associated second order difference equation. Finally, scaling limits Christoffel–Darboux kernel.
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2021
ISSN: ['0021-9045', '1096-0430']
DOI: https://doi.org/10.1016/j.jat.2020.105496