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: Function Theory in the Unit Ball of ℂ n
  name:
    name part: Rudin, Walter.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2008
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 436 p. online resource.
  abstract: Function Theory in the Unit Ball of Cn. From the reviews: "…The book is easy on the reader. The prerequisites are minimal—just the standard graduate introduction to real analysis, complex analysis (one variable), and functional analysis. This presentation is unhurried and the author does most of the work. …certainly a valuable reference book, and (even though there are no exercises) could be used as a text in advanced courses." R. Rochberg in Bulletin of the London Mathematical Society. "…an excellent introduction to one of the most active research fields of complex analysis. …As the author emphasizes, the principal ideas can be presented clearly and explicitly in the ball, specific theorems can be quickly proved. …Mathematics lives in the book: main ideas of theorems and proofs, essential features of the subjects, lines of further developments, problems and conjectures are continually underlined. …Numerous examples throw light on the results as well as on the difficulties." C. Andreian Cazacu in Zentralblatt für Mathematik.
  table of contents: Preliminaries -- The Automorphisms of B -- Integral Representations -- The Invariant Laplacian -- Boundary Behavior of Poisson Integrals -- Boundary Behavior of Cauchy Integrals -- Some Lp-Topics -- Consequences of the Schwarz Lemma -- Measures Related to the Ball Algebra -- Interpolation Sets for the Ball Algebra -- Boundary Behavior of H?-Functions -- Unitarily Invariant Function Spaces -- Moebius-Invariant Function Spaces -- Analytic Varieties -- Proper Holomorphic Maps -- The -Problem -- The Zeros of Nevanlinna Functions -- Tangential Cauchy-Riemann Operators -- Open Problems.
  note: by Walter Rudin.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Classics in Mathematics
  identifier: 9783540682769
  identifier: http://dx.doi.org/10.1007/978-3-540-68276-9
  record info:
    record creation date: 100715
    record change date: 20151204153008.0
    record identifier: 978-3-540-68276-9