The Christoffel-Darboux kernel
B Simon - Perspectives in PDE, Harmonic Analysis and …, 2008 - books.google.com
The Christoffel-Darboux kernel Page 314 http://dx. doi. org/10.1090/pspum/079/2500498
Proceedings of Symposia in Pure Mathematics Proceedings of Symposia in Pure …
Proceedings of Symposia in Pure Mathematics Proceedings of Symposia in Pure …
[PDF][PDF] Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey–Wilson polynomials
V Spiridonov, A Zhedanov - Methods and Applications of Analysis, 1995 - intlpress.com
Consequences of the Darboux transformations for the finite-difference Schrodinger
equations and three-term recurrence relations for orthogonal polynomials are considered …
equations and three-term recurrence relations for orthogonal polynomials are considered …
Asymptotics for Christoffel functions for general measures on the real line
V Totik - Journal d'Analyse Mathématique, 2000 - Springer
We consider asymptotics of Christoffel functions for measures ν with compact support on the
real line. It is shown that under some natural conditions n times the n th Christoffel function …
real line. It is shown that under some natural conditions n times the n th Christoffel function …
Polynomial inverse images and polynomial inequalities
V Totik - 2001 - projecteuclid.org
Polynomial inverse images and polynomial inequalities Page 1 Acta Math., 187 (2001), 139 160
@ 2001 by Institut Mittag-Leffier. All rights reserved Polynomial inverse images and polynomial …
@ 2001 by Institut Mittag-Leffier. All rights reserved Polynomial inverse images and polynomial …
Explicit inverse of a tridiagonal k−Toeplitz matrix
CM Fonseca, J Petronilho - Numerische Mathematik, 2005 - Springer
We obtain explicit formulas for the entries of the inverse of a nonsingular and irreducible
tridiagonal k− Toeplitz matrix A. The proof is based on results from the theory of orthogonal …
tridiagonal k− Toeplitz matrix A. The proof is based on results from the theory of orthogonal …
[PDF][PDF] Orthogonal polynomials
V Totik - arXiv preprint math/0512424, 2005 - arxiv.org
arXiv:math/0512424v1 [math.CA] 18 Dec 2005 Page 1 arXiv:math/0512424v1 [math.CA] 18
Dec 2005 Orthogonal Polynomials Vilmos Totik 11/11/05 Abstract In this survey, different …
Dec 2005 Orthogonal Polynomials Vilmos Totik 11/11/05 Abstract In this survey, different …
Universality and fine zero spacing on general sets
V Totik - Arkiv för Matematik, 2009 - Springer
A recent approach of DS Lubinsky yields universality in random matrix theory and fine zero
spacing of orthogonal polynomials under very mild hypothesis on the weight function …
spacing of orthogonal polynomials under very mild hypothesis on the weight function …
Periodic Jacobi matrices on trees
We begin the systematic study of the spectral theory of periodic Jacobi matrices on trees
including a formal definition. The most significant result that appears here for the first time is …
including a formal definition. The most significant result that appears here for the first time is …
Asymptotics of Chebyshev polynomials, I: subsets of
We consider Chebyshev polynomials, T_n (z) T n (z), for infinite, compact sets e ⊂ R e⊂ R
(that is, the monic polynomials minimizing the\sup sup-norm,|| T_n|| _ e|| T n|| e, on ee). We …
(that is, the monic polynomials minimizing the\sup sup-norm,|| T_n|| _ e|| T n|| e, on ee). We …
A Riemann–Hilbert approach to computing the inverse spectral map for measures supported on disjoint intervals
We develop a numerical method for computing with orthogonal polynomials that are
orthogonal on multiple, disjoint intervals for which analytical formulae are currently …
orthogonal on multiple, disjoint intervals for which analytical formulae are currently …