Local limits for orthogonal polynomials for varying measures via universality

Eli Levin, Doron S. Lubinsky

Research output: Contribution to journalArticlepeer-review


We consider orthogonal polynomials pne−2nQn ,x for varying measures and use universality limits to prove ”local limits” limn→∞[Formula presented]e−[Formula presented]z=cosπz.Here yjn is a local maximum point of pne−nQn in the ”bulk” of the support, K̃nyjn,yjn is the normalized reproducing kernel, and the limit holds uniformly for z in compact subsets of the plane. We also consider local limits at the ”soft edge” of the spectrum, which involve the Airy function.

Original languageEnglish
Article number105394
JournalJournal of Approximation Theory
StatePublished - Jun 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier Inc.


  • Asymptotics
  • Exponential weights
  • Orthogonal Polynomials
  • University Limits
  • Varying Weights


Dive into the research topics of 'Local limits for orthogonal polynomials for varying measures via universality'. Together they form a unique fingerprint.

Cite this