Discrepancy of signed measures and polynomial approximation / Vladimir V. Andrievskii, Hans-Peter Blatt

Auteur: Andrievskii, Vladimir V. (1953-) - AuteurCo-auteur: Blatt, Hans-Peter (1950-) - AuteurType de document: Monographie Collection: Springer monographs in mathematics Langue: anglaisPays: Etats UnisÉditeur: New York : Springer, 2010Description: 1 vol. (XIII-438 p.) ; 25 cm ISBN: 9781441931467 ; br. Note: This book is probably not one for casual reading or easy reference, except for the expert in the area, as most of the results and their proofs are highly technical, with much notation. A seven page listing of notation at the end of the book is very useful in keeping track of the notation. Following a first chapter that is a recap of basic potential theory and other fundamental topics to be used later, the book proceeds to give substantial results on polynomial approximation, using tools from many aspects of analysis. The chapter headings, given below, indicate the nature of some of the kinds of results given. For each chapter, the authors devote an introductory section giving an overview of the results to be presented, as well as a final section containing historical comments. In addition, there are four almost chapter-length appendices, and a bibliography consisting of 184 works. Although the results contained in the book are due to many different authors, many of the more recent results and proofs, together with the order of presentation, are due to the authors. (Zentralblatt)Bibliographie: Bibliogr. p. [415]-426. Index. Sujets MSC: 30-02 Functions of a complex variable -- Research exposition (monographs, survey articles)
30E10 Functions of a complex variable -- Miscellaneous topics of analysis in the complex domain -- Approximation in the complex domain
42C05 Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Orthogonal functions and polynomials, general theory
26C10 Real functions -- Polynomials, rational functions -- Polynomials: location of zeros
31A15 Potential theory -- Two-dimensional theory -- Potentials and capacity, harmonic measure, extremal length
En-ligne: Springerlink - ed. 2002
Location Call Number Status Date Due
Salle R 06551-01 / 30 AND (Browse Shelf) Available

This book is probably not one for casual reading or easy reference, except for the expert in the area, as most of the results and their proofs are highly technical, with much notation. A seven page listing of notation at the end of the book is very useful in keeping track of the notation. Following a first chapter that is a recap of basic potential theory and other fundamental topics to be used later, the book proceeds to give substantial results on polynomial approximation, using tools from many aspects of analysis. The chapter headings, given below, indicate the nature of some of the kinds of results given. For each chapter, the authors devote an introductory section giving an overview of the results to be presented, as well as a final section containing historical comments. In addition, there are four almost chapter-length appendices, and a bibliography consisting of 184 works. Although the results contained in the book are due to many different authors, many of the more recent results and proofs, together with the order of presentation, are due to the authors. (Zentralblatt)

Bibliogr. p. [415]-426. Index

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