Holomorphically convex hull
(重定向自Holomorphically convex)
In mathematics, more precisely in complex analysis, the holomorphically convex hull of a given compact set in the n-dimensional complex space C is defined as follows.
Let be a domain (an open and connected set), or alternatively for a more general definition, let
be an
dimensional complex analytic manifold. Further let
stand for the set of holomorphic functions on
For a compact set
, the holomorphically convex hull of
is