Analytic Functionals

Abstract

Let M be a complex submanifold of ℂn of complex dimension m. Let ℋ(M)be the space of holomorphic functions on M equipped with the topology of uniform convergence on compact subsets of M, and let ℋ(M)′ be its dual space of continuous linear functionals. We shall call the elements of ℋ(M)′ f the analytic functionals on M.KeywordsCompact SubsetHolomorphic FunctionOpen NeighborhoodPlurisubharmonic FunctionStein ManifoldThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.