Holomorphic function theory in several variables
Subtitle: an introduction
By: Christine Laurent-Thiébaut
Series: Universitext; Universitext
Publisher: Springer; EDP Sciences
Published: 2011
Place of publication: London; New York; France
Language: eng
Number of pages: 252
ISBN-13: 9780857290298; 9782759800834
Subjects: Holomorphic functions; Functions of several complex variables
Work titles: Théorie des fonctions holomorphes de plusiers variables
Description: This book provides an introduction to complex analysis in several variables. The viewpoint of integral representation theory together with Grauert's bumping method offers a natural extension of single variable techniques to several variables analysis and leads rapidly to important global results. Applications focus on global extension problems for CR functions, such as the Hartogs-Bochner phenomenon and removable singularities for CR functions. Three appendices on differential manifolds, sheaf theory and functional analysis make the book self-contained. Each chapter begins with a detailed abstract, clearly demonstrating the structure and relations of following chapters. New concepts are clearly defined and theorems and propositions are proved in detail. Historical notes are also provided at the end of each chapter. Clear and succinct, this book will appeal to post-graduate students, young researchers seeking an introduction to holomorphic function theory in several variables and lecturers seeking a concise book on the subject.
Notes: Includes bibliographical references and index.

Translated from the original french, published by EDP Sciences, CNRS Editions, 1997.