Several complex varıables and banach algebras<br><br><br><br>Table of Contents<br>Preface to the Second Edition ix<br>Preface to the Third Edition xi<br>Chapter 1 Preliminaries and Notation 1<br>Chapter 2 Classical Approximation Theorems 5<br>Chapter 3 Operational Calculus in One Variable 17<br>Chapter 4 Differential Forms 23<br>Chapter 5 The 9-Operator 27<br>Chapter 6 The Equation OH = / 31<br>Chapter 7 The Oka-Weil Theorem 36<br>Chapter 8 Operational Calculus in Several Variables 43<br>Chapter 9 The Silov Boundary 50<br>Chapter 10 Maximality and Rado’s Theorem * ‘ 57<br>Chapter 11 Maximum Modulus Algebras 64<br>Chapter 12 Hulls of Curves and Arcs 84<br>Chapter 13 Integral Kernels 92<br>Chapter 14 Perturbations of the Stone-Weierstrass Theorem 102<br>Chapter 15 The First Cohomology Group of a Maximal Ideal Space 112<br>Chapter 16 The d-Operator in Smoothly Bounded Domains 120<br> vii<br> <br>viii Table of Contents<br>Chapter 17 Manifolds Without Complex Tangents 134<br>Chapter 18 Submanifolds of High Dimension 146<br>Chapter 19 Boundaries of Analytic Varieties 155<br>Chapter 20 Polynomial Hulls of Sets Over the Circle 170<br>Chapter 21 Areas 180<br>Chapter 22 Topology of Hulls 187<br>Chapter 23 Pseudoconvex sets in C" 194<br>Chapter 24 Examples 206<br>Chapter 25 Historical Comments and Recent Developments 224<br>Chapter 26 Appendix 231<br>Chapter 27 Solutions to Some Exercises 237<br>Bibliography 241<br>Index 251<br>