| Document Type
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BL
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| Record Number
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1010128
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| Doc. No
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b764498
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| Main Entry
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D'Angelo, John P.
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| Title & Author
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Several complex variables and the geometry of real hypersurfaces /\ John P. D'Angelo.
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| Publication Statement
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Boca Raton :: CRC Press,, ©1993.
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| Series Statement
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Studies in advanced mathematics
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| Page. NO
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xiii, 272 pages ;; 24 cm.
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| ISBN
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0849382726
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: 9780849382727
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| Bibliographies/Indexes
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Includes bibliographical references (pages 265-270) and index.
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| Contents
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1. Holomorphic Functions and Mappings. 1.1. Preliminaries. 1.2. Holomorphic mappings. 1.3. Further applications. 1.4. Basic analytic geometry -- 2. Holomorphic Mappings and Local Algebra. 2.1. Finite analytic mappings. 2.2. Intersection numbers. 2.3. The order of contact of an ideal. 2.4. Higher order invariants -- 3. Geometry of Real Hypersurfaces. 3.1. CR geometry. 3.2. Algebraic real hypersurfaces and complex varieties. 3.3. Real analytic subvarieties -- 4. Points of Finite Type. 4.1. Orders of contact. 4.2. Local bounds. 4.3. Other finite type conditions. 4.4. Conclusions -- 5. Proper Holomorphic Mappings Between Balls. 5.1. Rational proper mappings. 5.2. Invariance under fixed-point-free finite unitary groups. 5.3. Boundary behavior -- 6. Geometry of the [actual symbol not reproducible]-Neumann Problem. 6.1. Introduction to the problem. 6.2. Existence and regularity results on the [actual symbol not reproducible] and [actual symbol not reproducible]-Neumann problems.
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6.3. Subellipticity. 6.4. Subelliptic multipliers. 6.5. Varieties of positive holomorphic dimension -- 7. Analysis on Finite Type Domains. 7.1. The Bergman projection. 7.2. Boundary invariants and CR mappings.
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| Subject
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Functions of several complex variables.
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Hypersurfaces.
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Functions of several complex variables.
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Hypersurfaces.
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Hyperfläche.
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Hyperfläche.
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Mehrere komplexe Variable.
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Mehrere komplexe Variable.
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| Dewey Classification
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515/.94
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| LC Classification
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QA331.7.D36 1993
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| NLM classification
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*32-02msc
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31.43bcl
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32B05msc
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32B10msc
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32N15msc
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32T99msc
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32W05msc
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SK 750rvk
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SK 780rvk
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