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Universality Limits at the Hard Edge of the Spectrum for Measures with Compact Support

2008; Oxford University Press; Linguagem: Inglês

10.1093/imrp/rnn099

1687-0247

D. S. Lubinsky,

Analytic Number Theory Research

We use the theory of entire functions and reproducing kernels to establish universality at the (hard) edge of a spectrum for a measure with compact support. This involves the Bessel kernel. In particular, we show that universality at the hard edge is equivalent to universality along the diagonal at the hard edge.