The Nevai Condition
نویسندگان
چکیده
We study Nevai’s condition that for orthogonal polynomials on the real line, Kn(x, x0)Kn(x0, x0)−1 dρ(x) → δx0 , where Kn is the Christoffel–Darboux kernel. We prove that it holds for the Nevai class of a finite gap set uniformly on the spectrum, and we provide an example of a regular measure on [−2,2] where it fails on an interval.
منابع مشابه
Critical Lieb-thirring Bounds in Gaps and the Generalized Nevai Conjecture for Finite Gap Jacobi Matrices
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