Overview
- Distinctive and comprehensive approach to the theory of polynomially convex sets
- Examples and counterexamples illustrate complex ideas
Part of the book series: Progress in Mathematics (PM, volume 261)
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Table of contents (8 chapters)
Keywords
About this book
Reviews
From the reviews:
"The style is rigorous, elegant and clear, the exposition is beautiful. The book is an extremely important tool to every researcher interested in the subject, as it contains basic facts and therefore will remain a standard reference in the future and, moreover, it opens a perspective on further directions of research."—Zentralblatt Math
"This is an excellent … introductory book for researchers in complex function theory and approximation theory that certainly becomes one of the chief references for these topics. I think the importance and main techniques of how to use polynomial convexity as a standard tool is rather clear for the mentioned experts. … The book is highly recommended for every researcher and postgraduate student working in areas with intensive use of complex analysis, analytic varieties or approximation theory." (László Stachó, Acta Scientiarum Mathematicarum, Vol. 74, 2008)
“Polynomial convexity is an important concept in the theory of functions of several complex variables, especially for approximation. This excellent exposition of a rich theory presents the general properties of polynomially convex sets with attention to hulls of one-dimensional sets … . Together with the comprehensive bibliography and the numerous interesting historical remarks this book will serve as a standard reference for many years.” (F. Haslinger, Monatshefte für Mathematik, Vol. 156 (4), April, 2009)
Authors and Affiliations
Bibliographic Information
Book Title: Polynomial Convexity
Authors: Edgar Lee Stout
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-0-8176-4538-0
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2007
Hardcover ISBN: 978-0-8176-4537-3Published: 03 May 2007
eBook ISBN: 978-0-8176-4538-0Published: 28 July 2007
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: X, 439
Topics: Several Complex Variables and Analytic Spaces, Functions of a Complex Variable, Field Theory and Polynomials, Functional Analysis, Analysis