Pseudoconvexity and domains of holomorphy are the two fundamental ideas in the function theory of several complex variables. The first is a differential geometric condition on the boundary. The second is an idea that comes strictly from function theory. The big result in the subject—the solution of the Levi problem—is that these two conditions are equivalent.
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© 2009 Birkhäuser Boston, a part of Springer Science+Business Media, LLC
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Krantz, S.G. (2009). Pseudoconvexity and Domains of Holomorphy. In: Explorations in Harmonic Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4669-1_6
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