Analytic Functionals

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 282)


Let M be a complex submanifold of ℂ n 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.


Compact Subset Holomorphic Function Open Neighborhood Plurisubharmonic Function Stein Manifold 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  1. 1.Université Paris VIParis Cedex 05France
  2. 2.UER de mathématiquesC.N.R.S., Université de ProvenceMarseilleFrance

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