# Function Theory of Several Complex Variables: Second Edition

### About this Title

**Steven G. Krantz**, *Washington University, St. Louis, MO*

Publication: AMS Chelsea Publishing

Publication Year:
1992; Volume 340

ISBNs: 978-0-8218-2724-6 (print); 978-1-4704-2991-1 (online)

DOI: https://doi.org/10.1090/chel/340

### Table of Contents

**Front/Back Matter**

**Chapters**

- Chapter 0. An introduction to the subject
- Chapter 1. Some integral formulas
- Chapter 2. Subharmonicity and its applications
- Chapter 3. Convexity
- Chapter 4. Hörmander’s solution of the $\bar \partial $ equation
- Chapter 5. Solution of the Levi problem and other applications of $\bar \partial $ techniques
- Chapter 6. Cousin problems, cohomology, and sheaves
- Chapter 7. The zero set of a holomorphic function
- Chapter 8. Some harmonic analysis
- Chapter 9. Constructive methods
- Chapter 10. Integral formulas for solutions to the $\bar \partial $ problem and norm estimates
- Chapter 11. Holomorphic mappings and invariant metrics
- Appendix I. Manifolds
- Appendix II. Area measures
- Appendix III. Exterior algebra
- Appendix IV. Vectors, covectors, and differential forms