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On a Parametrized Levi Problem Involving One Complex Variable

Published online by Cambridge University Press:  20 November 2018

Bruce Gilligan
Bruce Gilligan*
Affiliation:
Department of Mathematics and Statistics, University of Regina Regina, Saskatchewan Canada S4S 0A2
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Abstract

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The classical Levi problem in several complex variables characterizes domains of holomorphy in terms of a boundary condition called pseudo convexity. The purpose of this note is to give a characterization of those domains D in ℂ×ℝ, where one can always solve the -problem with C∞ parameters, in terms of a certain kind of convexity condition on their boundaries.

Keywords

30G30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 26 , Issue 3 , 01 September 1983 , pp. 324 - 327
Copyright
Copyright © Canadian Mathematical Society 1983

References

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