Scaling Limits of Jacobi Matrices and the Christoffel–Darboux Kernel

Jonathan Breuer

Type: Article

Publication Date: 2020-02-20

Citations: 2

DOI: https://doi.org/10.1007/s00365-019-09492-z

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Constructive Approximation - View
arXiv (Cornell University) - View - PDF

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+	On Jacobi polynomials $${\mathscr {P}}_{k}^{(\alpha ,\beta )}$$ and coefficients $$c_{j}^{\ell }(\alpha ,\beta )$$ $$\left( k\ge 0, \ell =5,6; 1\le j\le \ell ; \alpha ,\beta > -1\right)$$	2020	Richard Olu Awonusika
+	Asymptotics for Christoffel functions associated to continuum Schrödinger operators	2023	Benjamin Eichinger

Works Cited by This (38)

Action	Title	Year	Authors
+	Hilbert spaces of entire functions	1968	Louis de Branges
+	Bulk Universality and Clock Spacing of Zeros for Ergodic Jacobi Matrices with A.C. Spectrum	2008	Artur Avila Yoram Last Barry Simon
+ PDF Chat	Bounded eigenfunctions and absolutely continuous spectra for one-dimensional Schrödinger operators	1996	Barry Simon
+	Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach	2000	Percy Deift
+	Canonical systems and de Branges spaces	2014	Roman Romanov
+	None	2002	Arno B. J. Kuijlaars M. Vanlessen
+ PDF Chat	FINE STRUCTURE OF THE ZEROS OF ORTHOGONAL POLYNOMIALS: A REVIEW	2007	Barry Simon
+	J-inner matrix functions, interpolation and inverse problems for canonical systems, I: Foundations	1997	Damir Z. Arov Harry Dym
+ PDF Chat	Applications of universality limits to zeros and reproducing kernels of orthogonal polynomials	2007	Eli Levin D. S. Lubinsky
+	Schrödinger operators and de Branges spaces	2002	Christian Remling