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General Orthogonal Polynomials

Language EnglishEnglish
Book Paperback
Book General Orthogonal Polynomials Herbert StahlVilmos Totik
Libristo code: 02023467
Publishers Cambridge University Press, March 2010
In this treatise, the authors present the general theory of orthogonal polynomials on the complex pl... Full description
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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.

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About the book

Full name General Orthogonal Polynomials
Language English
Binding Book - Paperback
Date of issue 2010
Number of pages 268
EAN 9780521135047
ISBN 0521135044
Libristo code 02023467
Weight 400
Dimensions 152 x 229 x 15
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