On the Airy Reproducing Kernel, Sampling Series, and Quadrature Formula |
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| Authors: | Eli Levin Doron S. Lubinsky |
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| Affiliation: | (1) Mathematics Department, The Open University of Israel, P.O. Box 808, Raanana, 43107, Israel;(2) School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA |
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| 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. Research supported by NSF grant DMS0400446 and US-Israel BSF grant 2004353. |
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| Keywords: | KeywordHeading" >. Airy kernel sampling series reproducing kernel |
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