Bounds and Asymptotics for Orthogonal Poly...

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Beschreibung

This book establishes bounds and asymptotics under almost minimal conditions on the varying weights, and applies them to universality limits and entropy integrals. Orthogonal polynomials associated with varying weights play a key role in analyzing random matrices and other topics.

This book will be of use to a wide community of mathematicians, physicists, and statisticians dealing with techniques of potential theory, orthogonal polynomials, approximation theory, as well as random matrices.

Über den Autor

Eli Levin is an emeritus professor at the Open University of Israel in Ramat Aviv.

Doron Lubinsky is a professor at Georgia Institute of Technology. Both are authors of papers on approximation theory, and a joint monograph on orthogonal polynomials.

Zusammenfassung

One of the first books of its kind published on the topic

Provides a general treatment of varying exponential weights

Appeals to a wide range of researchers as well as young mathematicians

Inhaltsverzeichnis

Introduction.- Statement of Main Results.- Potential Theoretic Estimates.- Restricted Range Inequalities.- Bounds for Christoffel Functions.- Spacing of Zeros.- Bounds on Orthogonal Polynomials.- Markov-Bernstein Inequalities in L.- Discretization of Potentials.- Derivatives of Discretized Polynomials.- Weighted Polynomial Approximations.- Formulae Involving Bernstain-Szego Polynomials.- Asymptotics of Orthonormal Polynomials.- Further Bounds.- Universality Limits and Entropy Integrals.

Details

Erscheinungsjahr:	2018
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	SpringerBriefs in Mathematics
Inhalt:	vii 170 S.
ISBN-13:	9783319729466
ISBN-10:	3319729462
Sprache:	Englisch
Herstellernummer:	978-3-319-72946-6
Einband:	Kartoniert / Broschiert
Autor:	Levin, Eli Lubinsky, Doron S.
Auflage:	1st edition 2018
Hersteller:	Springer Palgrave Macmillan Springer International Publishing AG SpringerBriefs in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 11 mm
Von/Mit:	Eli Levin (u. a.)
Erscheinungsdatum:	21.02.2018
Gewicht:	0,283 kg