Abstract
This chapter contains a very brief survey of the classical theory of Stein manifolds and Stein spaces. After a historical introduction we recall the Cartan-Thullen characterization of domains of holomorphy by holomorphic convexity, the notion of Hartogs and Levi pseudoconvexity, the Levi problem, Cartan-Serre Theorems A and B and their main applications, holomorphic embedding theorems for Stein manifolds and Stein spaces, and solvability of the nonhomogeneous Cauchy-Riemann equations.
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© 2011 Springer-Verlag Berlin Heidelberg
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Forstnerič, F. (2011). Stein Manifolds. In: Stein Manifolds and Holomorphic Mappings. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 56. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22250-4_2
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DOI: https://doi.org/10.1007/978-3-642-22250-4_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22249-8
Online ISBN: 978-3-642-22250-4
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