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Geometry of semi-tube domains in C2 by Josep M. Burgués; Roman J. Dwilewicz is a Mathematics article available to read on EtoBox.
What is Geometry of semi-tube domains in C2 about?
In this paper we study a class of unbounded domains in C 2 which are invariant with respect to translations in some fixed real direction. Such domains will be called semi-tubes. We prove various properties of such domains, e.g., dependence of pseudoconvexity on the position of the base of the domain in R 3 C × R, the Hartogs type phenomenon on holomorphic extension of CR functions, and give concrete examples of semi-tubes over tori in R 3 C × R and see how the position of the tori influences the pseudoconvexity of the semi-tube.
Who reads Geometry of semi-tube domains in C2?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Josep M. Burgués; Roman J. Dwilewicz
- Publisher
- Walter de Gruyter GmbH
- Published
- 2012
- Language
- EN
- Field
- Mathematics (Physical Sciences)