Ebook: Banach Algebras and Several Complex Variables

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Content:
Front Matter....Pages i-ix
Preliminaries and Notations....Pages 1-4
Classical Approximation Theorems....Pages 5-16
Operational Calculus in One Variable....Pages 17-22
Differential Forms....Pages 23-26
The Oka—Weil Theorem....Pages 27-30
Operational Calculus in Several Variables....Pages 31-35
The ?ilov Boundary....Pages 36-42
Maximality and Rad?’s Theorem....Pages 43-49
Analytic Structure....Pages 50-56
Algebras of Analytic Functions....Pages 57-63
The First Cohomology Group of a Maximal Ideal Space....Pages 64-70
Manifolds Without Complex Tangents....Pages 71-76
Submanifolds of High Dimension....Pages 77-81
Generators....Pages 82-86
The Fibers Over a Plane Domain....Pages 87-95
Examples of Hulls....Pages 96-110
Solutions to Some Exercises....Pages 111-121
Back Matter....Pages 122-130
....Pages 131-136