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On a Parametrized Levi Problem Involving One Complex Variable
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1983