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
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_320663 |
| Date | January 1995 |
| Contributors | Wong, Sai Yiu., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Publisher | Chinese University of Hong Kong |
| Source Sets | The Chinese University of Hong Kong |
| Language | English |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, iv, 97 leaves ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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