On the airy reproducing kernel, sampling series, and quadrature formula

Eli Levin, Doron S. Lubinsky

Research output: Contribution to journalArticlepeer-review

Abstract

We determine the class of entire functions for which the Airy kernel (of random matrix theory) is a reproducing kernel. We deduce an Airy sampling series and quadrature formula. Our results are analogues of well known ones for the Bessel kernel. The need for these arises in investigating universality limits for random matrices at the soft edge of the spectrum.

Original languageEnglish
Pages (from-to)427-438
Number of pages12
JournalIntegral Equations and Operator Theory
Volume63
Issue number3
DOIs
StatePublished - Mar 2009

Bibliographical note

Funding Information:
Research supported by NSF grant DMS0400446 and US-Israel BSF grant 2004353.

Keywords

  • Airy kernel
  • Reproducing kernel
  • Sampling series

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