Polynomial convexity /
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| Author / Creator: | Stout, Edgar Lee, 1938- |
|---|---|
| Imprint: | Boston, Mass. : Birkhàˆuser, 2007. |
| Description: | x, 439 p. ; 25 cm. |
| Language: | English |
| Series: | Progress in mathematics ; v. 261 Progress in mathematics (Boston, Mass.) ; v. 261. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/6435304 |
Table of Contents:
- Preface
- Introduction
- Polynomial convexity
- Uniform algebras
- Plurisubharmonic fuctions
- The Cauchy-Fantappie Integral
- The Oka'Weil Theorem
- Some examples
- Hulls with no analytic structure
- Some General Properties of Polynomially Convex Sets
- Applications of the Cousin problems
- Two characterizations of polynomially convex sets
- Applications of Morse theory and algebraic topology
- Convexity in Stein manifolds
- Sets of Finite Length
- Introduction
- One-dimensional varieties
- Geometric preliminaries
- Function-theoretic preliminaries
- Subharmonicity results
- Analytic structure in hulls
- Finite area
- The continuation of varieties
- Sets of Class A1. Introductory remarks
- Measure-theoretic preliminaries
- Sets of class A1. Finite area
- Stokes's Theorem
- The multiplicity function
- Counting the branches
- Further Results
- Isoperimetry
- Removable singularities
- Surfaces in strictly pseudoconvex boundaries
- Approximation
- Totally real manifolds
- Holomorphically convex sets
- Approximation on totally real manifolds
- Some tools from rational approximation
- Algebras on surfaces
- Tangential approximation
- Varieties in Strictly Pseudoconvex Domains
- Interpolation
- Boundary regularity
- Uniqueness
- Examples and Counter Examples
- Unions of planes and balls
- Pluripolar graphs
- Deformations
- Sets with symmetry
- Bibliography
- Index
