On the spacing of zeros of paraorthogonal polynomials for singular measures

Jonathan Breuer, Eyal Seelig

Research output: Contribution to journalArticlepeer-review

Abstract

We prove a lower bound on the spacing of zeros of paraorthogonal polynomials on the unit circle, based on continuity of the underlying measure as measured by Hausdorff dimensions. We complement this with the analog of the result from Breuer (2011) showing that clock spacing holds even for certain singular continuous measures.

Original languageEnglish
Article number105482
JournalJournal of Approximation Theory
Volume259
DOIs
StatePublished - Nov 2020

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Mathematics(all)
  • Applied Mathematics

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