Analytic Function Theory of Several Variables

• Holomorphic Functions.- Oka's First Coherence Theorem.- Sheaf Cohomology.- Holomorphically Convex Domains and Oka--Cartan's Fundamental Theorem.- Domains of Holomorphy.- Analytic Sets and Complex Spaces.- Pseudoconvex Domains and Oka's Theorem.- Cohomology of Coherent Sheaves and Kodaira's Embedding Theorem.- On Coherence.- Appendix.- References.- Index.- Symbols.

“The book is extremely readable and yet detailed and clear. Its novel viewpoint on Oka’s theory, essentially inverting the order in which the main theorems are proved, will certainly benefit beginning graduate students who are interested in several complex variables. This book is destined to become a classic on the topic of coherence in complex analysis.” (Valentino Tosatti, zbMATH 1380.32001, 2018)