Complete system of finite order for CR mappings between real analytic hypersurfaces of degenerate Levi form (Q2708263)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete system of finite order for CR mappings between real analytic hypersurfaces of degenerate Levi form |
scientific article |
Statements
7 March 2002
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CR mapping
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complete system
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finite type
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\(k\)-nondegenerate
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0.9342115
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0.8829621
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0.87278175
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0.86901486
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0.86644423
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0.8629428
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Complete system of finite order for CR mappings between real analytic hypersurfaces of degenerate Levi form (English)
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(The following is essentially just the author's original abstract.) The author shows that the germ of a CR mapping \(f\) between two real analytic hypersurfaces in complex Cartesian spaces has a holomorphic extension and is a complete system of finite order if the source is of finite type in the sense of Bloom-Graham and the target is \(k\)-nondegenerate under certain generic assumptions on \(f\).
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