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<E, F> -Domains of Holomorphy

  • Charles E. Rickart
Part of the Universitext book series (UTX)

Abstract

This chapter, which is concerned with domains spread over the complex linear vector space E of a dual pair <E, F>, consists mainly of extensions of results for the special case (E due to M. Matos [M1, M2] (countable ⋀) and V. Aurich [A4] (arbitrary ⋀). (See also [H3, R6].) The dual pair <E, F> is fixed throughout and the topology in E is always assumed to be the σ(E, F)-topology. Also, instead of using the rather cumbersome expression, “[E, <E, F> ]-domain”, for a domain spread over E, we shall use the simpler term, “<E, F>-domain”. Similarly, an <E, F>-domain of <E, F> -holomorphy will be called simply an <E, F>-domain of holomorphy.

Keywords

Holomorphic Function Point Evaluation Dual Pair Finite Dimensional Space Basic Neighborhood 
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 New York Inc. 1979

Authors and Affiliations

  • Charles E. Rickart
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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