rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Holomorphic Function Theory in Several Variables
    sub title: An Introduction
  name:
    name part: Laurent-Thiébaut, Christine.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 252 p. online resource.
  abstract: 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.
  table of contents: 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.
  note: by Christine Laurent-Thiébaut.
  subject:
    topic: Mathematics
  subject:
    topic: Functions of complex variables
  subject:
    topic: Mathematics
  subject:
    topic: Several Complex Variables and Analytic Spaces
  classification: QA331.7
  classification: 515.94
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780857290304
  identifier: http://dx.doi.org/10.1007/978-0-85729-030-4
  record info:
    record creation date: 100917
    record change date: 20151125022207.0
    record identifier: 978-0-85729-030-4