Geometry and analysis on real hypersurfaces.

• Other Authors: Wong, Sai Yiu.
• Format: Others
• Language: English
• Published: Chinese University of Hong Kong 1995
• Subjects: Hypersurfaces; Holomorphic functions; Neumann problem
• Online Access: http://library.cuhk.edu.hk/record=b5888420; http://repository.lib.cuhk.edu.hk/en/item/cuhk-320663

by Wong Sai Yiu. === Thesis (M.Phil.)--Chinese University of Hong Kong, 1995. === Includes bibliographical references (leaves 94-97). === Introduction --- p.iii === Chapter 1 --- Invariants on ideals of holomorphic function germs --- p.1 === Chapter 1.1 --- Preliminaries --- p.1 === Chapter 1.2 --- Ideals of holomorphic function germs --- p.3 === Chapter 1.3 --- The order of contact of an ideal --- p.7 === Chapter 1.4 --- Higher order invariants --- p.11 === Chapter 2 --- Geometry on real hypersurfaces of Cn --- p.14 === Chapter 2.1 --- CR geometry --- p.14 === Chapter 2.2 --- The associated family of holomorphic ideals on real subvaxiety of Cn --- p.18 === Chapter 2.3 --- Relationships between points of finite type and complex varieties --- p.25 === Chapter 2.4 --- The case of pseudoconvex real hypersurfaces --- p.33 === Chapter 2.5 --- Other finite type conditions --- p.35 === Chapter 3 --- Point of finite type and the d-Neumann problem --- p.44 === Chapter 3.1 --- Introduction --- p.44 === Chapter 3.2 --- Subellipticity and subelliptic multipliers --- p.47 === Chapter 3.3 --- Geometry on Kohn's ideals of subelliptic multipliers --- p.60 === Chapter 3.4 --- The Diederich - Fornaess theorem --- p.66 === Chapter 3.5 --- Catlin's necessary condition on subellipticity --- p.69 === Chapter 4 --- Analysis on finite type domains --- p.78 === Chapter 4.1 --- The Bergman projection --- p.78 === Chapter 4.2 --- Boundary regularity of proper holomorphic mappings --- p.83 === Chapter 4.3 --- Local regularity and extension of CR mappings --- p.88 === Bibliography --- p.94