Local asymptotics for orthonormal polynomials in the interior of the support via universality

DOI10.1090/proc/14521zbMath1422.42037OpenAlexW2912412712WikidataQ128488068 ScholiaQ128488068MaRDI QIDQ5233966

Doron S. Lubinsky

Publication date: 9 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14521

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10) Nontrigonometric harmonic analysis (42C99) Miscellaneous topics of analysis in the complex plane (30E99)

Related Items (6)

Asymptotics for orthogonal polynomials and separation of their zeros ⋮ Oscillatory behavior of orthogonal polynomials ⋮ Local limits for orthogonal polynomials for varying measures via universality ⋮ Local asymptotics for orthonormal polynomials on the unit circle via universality ⋮ Riemann-Hilbert theory without local parametrix problems: applications to orthogonal polynomials ⋮ Bounds on orthogonal polynomials and separation of their zeros

Cites Work

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• A new approach to universality limits involving orthogonal polynomials
• Universality limits in the bulk for varying measures
• Universality and fine zero spacing on general sets
• Asymptotics for Christoffel functions for general measures on the real line
• Universality Under Szegő’s Condition
• Pointwise Asymptotics for Orthonormal Polynomials at the Endpoints of the Interval via Universality
• Polynomial inverse images and polynomial inequalities

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