00000cmm a22000004a 4500 UP-99796217611212360 Buklod 20250204165954.0 m go j cr |nu|||auu|a 250204s2011 xxk o j eng d 9780857290304 (eBook) 0857290304 (eBook) (iLib)UPD-00215704122 DMLR rda. eng DMLUC QA 331 L38 2011eb Laurent-Thiébaut, Christine author. Holomorphic function theory in several variables an introduction [electronic resource] Christine Laurent-Thiâebaut. London, England Springer London 2011. 1 online resource (xiii, 241 pages) text rdacontent computer rdamedia online resource rdacarrier Universitext Elementary local properties of holomorphic functions of several complex variables -- Currents and complex structures -- The Bochner-Martinelli-Koppelman kernel and formula applications -- Extensions of CR functions -- Extensions of holomorphic and CR functions on manifolds -- Domains of holomorphy and pseudoconvexity -- The Levi problem and the resolution of ? in strictly pseudoconvex domains -- Characterisation of removable singularities of CR functions on a strictly pseudoconvex boundary -- Appendices IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Website 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 Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink Holomorphic functions. SpringerLink (Online service). Electronic Resource Available for UP System via SpringerLink. https://doi.org/10.1007/978-0-85729-030-4 FO UPD DMLR QA 331 L38 2011eb Electronic Resource