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Introduction to complex analysis in several variables / Volker Scheidemann.

By: Material type: TextTextPublication details: Basel ; Birkhauser Verlag, c2005.Description: viii, 171 p. ; 24 cmISBN:
  • 9783764374907 (acidfree paper)
Subject(s): DDC classification:
  • 515.94 23 Sch318
Contents:
1. Elementary theory of several complex variables; 2. Continuation on circular and polycircular domains; 3. Biholomorphic maps; 4. Analytic Sets; 5. Hartogs' Kugelsatz; 6. Continuation on Tubular Domains; 7. Cartan-Thullen Theory; 8. Local Properties of holomorphic functions; Register of symbols; Bibliography; Index.
Summary: 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.
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Includes bibliographical references and index.

1. Elementary theory of several complex variables;
2. Continuation on circular and polycircular domains;
3. Biholomorphic maps;
4. Analytic Sets;
5. Hartogs' Kugelsatz;
6. Continuation on Tubular Domains;
7. Cartan-Thullen Theory;
8. Local Properties of holomorphic functions;
Register of symbols;
Bibliography;
Index.

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.

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