General Orthogonal Polynomials - Couverture souple

Stahl, Herbert

Couverture souple

ISBN 10 : 0521135044 ISBN 13 : 9780521135047

Editeur : Cambridge University Press, 2010

Synopsis

An encyclopedic presentation of general orthogonal polynomials, placing emphasis on asymptotic behaviour and zero distribution.

A propos du livre

Présentation de l'éditeur

In this treatise, the authors present the general theory of orthogonal polynomials on the complex plane and several of its applications. The assumptions on the measure of orthogonality are general, the only restriction is that it has compact support on the complex plane. In the development of the theory the main emphasis is on asymptotic behaviour and the distribution of zeros. In the following chapters, the author explores the exact upper and lower bounds are given for the orthonormal polynomials and for the location of their zeros; regular n-th root asymptotic behaviour; and applications of the theory, including exact rates for convergence of rational interpolants, best rational approximants and non-diagonal Pade approximants to Markov functions (Cauchy transforms of measures). The results are based on potential theoretic methods, so both the methods and the results can be extended to extremal polynomials in norms other than L2 norms. A sketch of the theory of logarithmic potentials is given in an appendix.

Revue de presse

Review of the hardback: 'This is an important but difficult book.' Journal of Approximation Theory

Review of the hardback: 'This very clearly written book can be warmly recommended.' Acta Sci. Math.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 0521135044
• ISBN 13: 9780521135047
• Reliure: Broché
• Nombre de pages: 268
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France