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: Logarithmic potentials with external fields
  name:
    name part: Saff, E. B.
    name part: 1944-
    role:
      role term: creator
  name:
    name part: Totik, V.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1997
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xv, 505 pages) : illustrations.
  abstract: This treatment of potential theory emphasizes the effects of an external field (or weight) on the minimum energy problem. Several important aspects of the external field problem (and its extension to signed measures) justify its special attention. The most striking is that it provides a unified approach to seemingly different problems in constructive analysis. These include the asymptotic analysis of orthogonal polynomials, the limited behavior of weighted Fekete points; the existence and construction of fast decreasing polynomials; the numerical conformal mapping of simply and doubly connected domains; generalization of the Weierstrass approximation theorem to varying weights; and the determination of convergence rates for best approximating rational functions.
  table of contents: Preliminaries -- Weighted Potentials -- Recovery of Measures, Green Functions and Balayage -- Weighted Polynomials -- Determination of the Extremal Measure -- Extremal Point Methods -- Weights on the Real Line -- Applications Concerning Orthogonal Polynomials -- Signed Measures -- Appendix A. The Dirichlet Problem and Harmonic Measures -- Appendix B. Weighted Approximation in CN -- Basic Results of Potential Theory -- Bibliography -- List of Symbols -- Index.
  note: Edward B. Saff, Vilmos Totik.
  note: Includes bibliographical references (pages [485]-494) and index.
  subject:
    topic: Potential theory (Mathematics)
  subject:
    topic: approximation pondérée
  subject:
    topic: potentiel logarithmique
  subject:
    topic: balayage
  subject:
    topic: fonction Green
  subject:
    topic: Théorie potentiel
  subject:
    topic: approximation polynomiale
  subject:
    topic: Potentiel, Théorie du
  subject:
    topic: Potentiaaltheorie
  subject:
    topic: Potentiel, Théorie du
  subject:
    topic: Potential theory (Mathematics)
  classification: QA404.7 .S24 1997eb
  classification: 515/.9
  classification: 31.42
  related item:
    title info:
      title: Logarithmic potentials with external fields
    name:
      name part: Saff, E. B., 1944-
    identifier: (DLC) 97028048
    identifier: (OCoLC)37277599
  related item:
    title info:
      title: Grundlehren der mathematischen Wissenschaften ; 316
  identifier: 9783662033296 (electronic bk.)
  identifier: 3662033291 (electronic bk.)
  identifier: 3540570780
  identifier: 9783540570783
  identifier: 3642081738
  identifier: 9783642081736
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: GW5XE
    record creation date: 140711
    record change date: 20260420215012.7
    record identifier: in00003549871
    language of cataloging:
      language term: eng