Introduction to Complex Analysis in Several Variables

This book gives a comprehensive introduction to complex analysis in several variables. It clearly focusses on special topics in complex analysis rather than trying to encompass as much material as possible. Many cross-references to other parts of mathematics, such as functional analysis or algebras,...

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Auteur principal: Scheidemann, Volker, 1968-
Format: Livre numérique
Langue:Anglais
Publié: Basel : Birkhäuser Basel 2005.
Cham : Springer Nature
Édition:1st ed. 2005.
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Edition sous un autre format:• Introduction to Complex Analysis in Several Variables, Texte imprimé, 9783764391041
• Introduction to complex analysis in several variables, Volker Scheidemann, 2005, Basel, Birkhäuser Verlag, 1 volume (VIII-171 pages), 3-7643-7490-X
Description
Résumé:This book gives a comprehensive introduction to complex analysis in several variables. It clearly focusses on special topics in complex analysis rather than trying to encompass as much material as possible. Many cross-references to other parts of mathematics, such as functional analysis or algebras, are pointed out in order to broaden the view and the understanding of the chosen topics. A major focus is extension phenomena alien to the one-dimensional theory, which are expressed in the famous Hartog's Kugelsatz, the theorem of Cartan-Thullen, and Bochner's theorem. The book primarily aims at students starting to work in the field of complex analysis in several variables and teachers who want to prepare a course. To that end, a lot of examples and supporting exercises are inserted throughout the text, which will help students to become acquainted with the subject.
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ISBN:9783764374914
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