This volume presents some important classical and modern results of the series of Faber polynomials and their applications. Interest in this subject has increased rapidly over the past decade although the presentation of research has been confined mainly to journal articles. Applications include theory of functions of complex variables, theory of analytic function approximation and some aspects of numerical analysis.
This volume presents some classical and modern results of the series of Faber polynomials and their applications, including theory of functions of complex variables, theory of analytic function approximation, and aspects of numerical analyses. Chapters focus on approximation theory, elementary properties of Faber polynomials, Faber series with the simplest conditions, asymptotic properties, convergence of series inside a domain, properties of Faber operators, closed domains, the theory of univalent functions, canonical domains, the Riemann boundary problem, the summation formula of Dzyadyk, generalization, and recent results. Suetin teaches mathematical analysis at the Technical University of Communication and Informatics. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Presents some important classical and modern results of the series of Faber polynomials and their applications. Interest in this subject has increased rapidly over the last decade, although the presentation of research has, until now, been confined mainly to journal articles. Applications include theory of functions of complex variables, theory of analytic function approximation, and some aspects of numerical analysis.
