Analytic Continuation of a Biholomorphic Mapping
نویسنده
چکیده
0. Introduction and Preliminary 2 0.1. Existence and uniqueness theorem 2 0.2. Equation of a chain 7 1. Nonsingular matrices 9 1.1. A family of nonsingular matrices 9 1.2. Sufficient condition for Nonsingularity 12 1.3. Estimates 16 2. Local automorphism group of a real hypersurface 23 2.1. Polynomial Identities 23 2.2. Injectivity of a Linear Mapping 33 2.3. Beloshapka-Loboda Theorem 42 3. Compact local automorphism groups 47 3.1. Compactness 47 3.2. Theorem of a germ of a biholomorphic mapping 51 3.3. Kruzhilin-Loboda Theorem 52 4. Analytic continuation of a normalizing mapping 57 4.1. Chains on a spherical real hypersurface 57 4.2. Chains on a nonspherical real hypersurface 61 4.3. Piecewise chain curve 64 4.4. Global straightening of a chain 66 4.5. Extension of a chain 73 5. Analytic continuation of a biholomorphic mapping 82 5.1. On a spherical real hypersurface 82 5.2. On a nonspherical real hypersurface 84 References 86
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