Maximum modulus sets and reflection sets (Q2277612)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximum modulus sets and reflection sets |
scientific article |
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Maximum modulus sets and reflection sets (English)
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1991
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We study sets in the boundary of a domain in \({\mathbb{C}}^ n\), on which a holomorphic function has maximum modulus. In particular we show that in a real analytic strictly pseudoconvex boundary, maximum modulus sets of maximum dimension are real analytic. Maximum modulus sets are related to ``reflection sets'', which are sets along which appropriate collections of holomorphic and antiholomorphic functions agree.
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maximum modulus sets
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