Part I Holomorphic Functions and Complex Spaces.- Convexity Notions.- Complex Manifolds.- Classical Questions of Several Complex Variables.- Part II The Method of Lē Estimates.- Basics of Hilb
ert Space Theory.- Harmonic Forms.- Vanishing Theorems.- Finiteness Theorems.- Notes on Complete Kahler Domains (= CKDs).- Part III Lē Variant of Oka-Cartan Theory.- Extension Theorems.- Division Theorems.- Multiplier Ideals.- Part IV Bergman Kernels.- The Bergman Kernel and Metric.- Bergman Spaces and Associated Kernels.- Sequences of Bergman Kernels.- Parameter Dependence.- Part V Lē Approaches to Holomorphic Foliations.- Holomorphic Foliation and Stable Sets.- Lē Method Applied to Levi Flat Hypersurfaces.- LFHs in Tori and Hopf Surfaces."synopsis" may belong to another edition of this title.