Extension Of Holomorphic Functions
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Extension of Holomorphic Functions
Author: Marek Jarnicki
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2020-05-05
This second extended edition of the classic reference on the extension problem of holomorphic functions in pluricomplex analysis contains a wealth of additional material, organized under the original chapter structure, and covers in a self-contained way all new and recent developments and theorems that appeared since the publication of the first edition about twenty years ago.
Extension of Holomorphic Functions
Author: Marek Jarnicki
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 2020-05-05
This second extended edition of the classic reference on the extension problem of holomorphic functions in pluricomplex analysis contains a wealth of additional material, organized under the original chapter structure, and covers in a self-contained way all new and recent developments and theorems that appeared since the publication of the first edition about twenty years ago.
Holomorphic Function Theory in Several Variables
Author: Christine Laurent-Thiébaut
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-09-09
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.