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Discrepancy of Signed Measures and Polynomial Approximation Hardback - 2001 - 2002nd Edition
by Vladimir V. Andrievskii; Hans-Peter Blatt
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Details
- Title Discrepancy of Signed Measures and Polynomial Approximation
- Author Vladimir V. Andrievskii; Hans-Peter Blatt
- Binding Hardback
- Edition number 2002nd
- Edition 2002
- Condition New
- Pages 438
- Volumes 1
- Language ENG
- Publisher Springer
- Publication date 2001-12-14
- Illustrated Yes
- Features Bibliography, Glossary, Illustrated, Index
- Bookseller's Inventory # BIBNNA-39970
- ISBN 9780387986524 / 0387986529
- Weight 1.8 lbs (0.82 kg)
- Dimensions 9.21 x 6.14 x 1 in (23.39 x 15.60 x 2.54 cm)
- Category Mathematics
- Library of Congress subjects Approximation theory, Orthogonal polynomials
- Library of Congress Catalogue Number 2001032837
- Dewey Decimal Code 511.4
- Quantity available 5
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From the publisher
First line
The aim of this preliminary chapter is to recall some of the results and general principles of potential theory, geometric function theory, the theory of quasiconformal mappings, and approximation theory.
From the rear cover
The book is an authoritative and up-to-date introduction to the field of Analysis and Potential Theory dealing with the distribution zeros of classical systems of polynomials such as orthogonal polynomials, Chebyshev, Fekete and Bieberbach polynomials, best or near-best approximating polynomials on compact sets and on the real line. The main feature of the book is the combination of potential theory with conformal invariants, such as module of a family of curves and harmonic measure, to derive discrepancy estimates for signed measures if bounds for their logarithmic potentials or energy integrals are known a priori. Classical results of Jentzsch and Szeg for the zero distribution of partial sums of power series can be recovered and sharpened by new discrepany estimates, as well as distribution results of Erds and Turn for zeros of polynomials bounded on compact sets in the complex plane.
Vladimir V. Andrievskii is Assistant Professor of Mathematics at Kent State University. Hans-Peter Blatt is Full Professor of Mathematics at Katholische Universitt Eichsttt.
Vladimir V. Andrievskii is Assistant Professor of Mathematics at Kent State University. Hans-Peter Blatt is Full Professor of Mathematics at Katholische Universitt Eichsttt.
