Pseudoconvexity
In mathematics, more precisely in the theory of functions of several complex variables, a pseudoconvex set is a special type of open set in the n-dimensional complex space Cn. Pseudoconvex sets are important, as they allow for classification of domains of holomorphy. Let be a domain, that is, an open connected subset. One says that is pseudoconvex (or Hartogs pseudoconvex) if there exists a continuous plurisubharmonic function on such that the set is a relatively compact subset of for all real numbers In other words, a domain is pseudoconvex if When has a boundary, it can be shown that which is so that and
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Pseudoconvexity
In mathematics, more precisely in the theory of functions of several complex variables, a pseudoconvex set is a special type of open set in the n-dimensional complex space Cn. Pseudoconvex sets are important, as they allow for classification of domains of holomorphy. Let be a domain, that is, an open connected subset. One says that is pseudoconvex (or Hartogs pseudoconvex) if there exists a continuous plurisubharmonic function on such that the set is a relatively compact subset of for all real numbers In other words, a domain is pseudoconvex if When has a boundary, it can be shown that which is so that and
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In mathematics, more precisely ...... find a C∞ exhaustion function.
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数学の多変数複素函数の理論において、擬凸集合（ぎとつしゅうご ...... tion function) を得ることが出来るからである。
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Pseudo-convex and pseudo-concave
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In mathematics, more precisely ...... hown that which is so that and
@en
数学の多変数複素函数の理論において、擬凸集合（ぎとつしゅうご ...... ら、次の近似的な結果が有用となる。 を満たすものが存在する。
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Pseudoconvexity
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擬凸性
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