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arxiv: 0711.1548 · v1 · submitted 2007-11-09 · 🧮 math.CV · math.AP· math.DG

Weak pseudoconcavity and the maximum modulus principle

classification 🧮 math.CV math.APmath.DG
keywords weakmaximummodulusprinciplepseudoconcavityabstractalmostalong
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We discuss the maximum modulus principle, and weak unique continuation, for CR functions on an abstract almost CR manifold M. We investigate these matters under the assumption of weak pseudoconcavity, and obtain sharp results about propagation along Sussmann leaves.

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