Titlebook: Introduction to Complex Analysis in Several Variables; Volker Scheidemann Textbook 2023Latest edition The Editor(s) (if applicable) and Th

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978-3-031-26427-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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https://doi.org/10.1007/978-3-031-26428-3Biholomorphic Maps; Cartan-Thullen Theory; Complex Analysis; Complex Variables; Holomorphic Functions; Ku

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,Cartan–Thullen Theory, of holomorphy should be the maximal domain of existence of some holomorphic function. In this chapter we will work on the task to characterize those domains ., on which no simultaneous extension phenomena occur.

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Textbook 2023Latest editionther than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. A major focus are extension phenomena alien to the one-dimensional theory, which are

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