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Analytic Functionals

  • Pierre Lelong
  • Lawrence Gruman
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 282)

Abstract

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.

Keywords

Compact Subset Holomorphic Function Open Neighborhood Plurisubharmonic Function Stein Manifold 
These 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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Pierre Lelong
    • 1
  • Lawrence Gruman
    • 2
  1. 1.Université Paris VIParis Cedex 05France
  2. 2.UER de mathématiquesC.N.R.S., Université de ProvenceMarseilleFrance

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