It is shown that monic orthogonal polynomials on the unit circle are the characteristic
polynomials of certain five-diagonal matrices depending on the Schur parameters. This …

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 …

CMV matrices: Five years after - ScienceDirect Skip to main contentSkip to article Elsevier logo
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We obtain uniform asymptotics for polynomials orthogonal on a fixed and varying arc of the
unit circle with a positive analytic weight function. We also complete the proof of the large s …

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 …

We provide a very general result which identifies the essential spectrum of broad classes of
operators as exactly equal to the closure of the union of the spectra of suitable limits at …

Matrix orthogonal Laurent polynomials in the unit circle and the theory of Toda-like
integrable systems are connected using the Gauss–Borel factorization of two, left and a right …

We connect the theory of orthogonal Laurent polynomials on the unit circle and the theory of
Toda-like integrable systems using the Gauss–Borel factorization of a Cantero–Moral …

We announce numerous new results in the theory of orthogonal polynomials on the unit
circle, most of which involve the connection between a measure on the unit circle in the …

Let e⊂R be a finite union of disjoint closed intervals. In the study of orthogonal polynomials
on the real line with measures whose essential support is e, a fundamental role is played by …