Several Complex Variables and Banach Algebras

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ISBN: 978-0-387-98253-3 (Print) 978-0-387-22586-9 (Online)

Table of contents (27 chapters)

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  1. Front Matter

    Pages i-xii

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    Book Chapter

    Pages 1-4

    Preliminaries and Notation

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    Book Chapter

    Pages 5-16

    Classical Approximation Theorems

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    Pages 17-22

    Operational Calculus in One Variable

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    Book Chapter

    Pages 23-26

    Differential Forms

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    Pages 27-30

    The \( \bar \partial \) -Operator

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    Pages 31-35

    The Equation \( \bar \partial u = f \)

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    Pages 36-42

    The Oka-Weil Theorem

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    Book Chapter

    Pages 43-49

    Operational Calculus in Several Variables

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    Book Chapter

    Pages 50-56

    The Šilov Boundary

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    Pages 57-63

    Maximality and Radó’s Theorem

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    Book Chapter

    Pages 64-83

    Maximum Modulus Algebras

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    Book Chapter

    Pages 84-91

    Hulls of Curves and Arcs

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    Pages 92-101

    Integral Kernels

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    Pages 102-111

    Perturbations of the StoneȔWeierstrass Theorem

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    Pages 112-119

    The First Cohomology Group of a Maximal Ideal Space

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    Pages 120-133

    The \( \bar \partial \) -Operator in Smoothly Bounded Domains

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    Pages 134-145

    Manifolds Without Complex Tangents

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    Pages 146-154

    Submanifolds of High Dimension

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    Book Chapter

    Pages 155-169

    Boundaries of Analytic Varieties

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    Book Chapter

    Pages 170-179

    Polynomial Hulls of Sets Over the Circle

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