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 language | English |
---|---|
Pages (from-to) | 427-438 |
Number of pages | 12 |
Journal | Integral Equations and Operator Theory |
Volume | 63 |
Issue number | 3 |
DOIs | |
State | Published - 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