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arxiv: math/0702845 · v1 · submitted 2007-02-27 · 🧮 math.CV

Global CR functions on parabolic CR manifolds

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keywords functionsglobalmanifoldsthoseactingcharacterizecomplexcomplexification
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Let M be an orbit of a real semisimple Lie group G_0 acting on a complex a flag manifolds G/Q of its complexification G. We study the space of global CR functions on M and characterize those M which are strictly locally CR separable, i.e. those for which global CR functions induce local embeddings in C^n.

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