Banach Algebras and Several Complex Variables

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 Šilov Boundary....Pages 36-42
Maximality and Radó’s Theorem....Pages 43-49
Analytic Structure....Pages 50-56
Algebras of Analytic Functions....Pages 57-63
Approximation on Curves in C n ....Pages 64-70
Uniform Approximation on Disks in C n ....Pages 71-76
The First Cohomology Group of a Maximal Ideal Space....Pages 77-81
Manifolds Without Complex Tangents....Pages 82-86
Submanifolds of High Dimension....Pages 87-95
Generators....Pages 96-110
The Fibers Over a Plane Domain....Pages 111-121
Examples of Hulls....Pages 122-130
Solutions to Some Exercises....Pages 131-136
Back Matter....Pages 137-142
....Pages 143-149