Scaling limits for mixed kernels

DOI10.1007/S00365-015-9315-1zbMath1336.42018OpenAlexW2287841947MaRDI QIDQ272909

Doron S. Lubinsky

Publication date: 21 April 2016

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-015-9315-1

zbMATH Keywords

orthogonal polynomialsscaling limitsuniversality limits

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

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• Bulk universality holds in measure for compactly supported measures
• A new approach to universality limits involving orthogonal polynomials
• Two extensions of Lubinsky's universality theorem
• Universality limits in the bulk for arbitrary measures on compact sets
• Universality and fine zero spacing on general sets
• Uniform asymptotic representations of orthogonal polynomials
• Szegö's extremum problem on the unit circle
• Applications of universality limits to zeros and reproducing kernels of orthogonal polynomials
• A class of orthogonal polynomials

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