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: Methods of Geometric Analysis in Extension and Trace Problems
    sub title: Volume 2
  name:
    name part: Brudnyi, Alexander.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Brudnyi, Yuri.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XX, 416 p. online resource.
  abstract: This is the second of a two-volume work presenting a comprehensive exposition of extension results for maps between different geometric objects and of extension-trace results for smooth functions on subsets with no a priori differential structure (Whitney problems). The account covers the development of the area from the initial classical works of the first half of the 20th century to the flourishing period of the last decade. Seemingly very specific, these problems have been from the very beginning a powerful source of ideas, concepts and methods that essentially influenced and in some cases even transformed considerable areas of analysis. Aside from the material linked by the aforementioned problems the work is also unified by the geometric analysis approach used in the proofs of basic results. This requires a variety of geometric tools from convex and combinatorial geometry to geometry of metric space theory to Riemannian and Coarse geometry and more. The necessary facts are presented mostly with detailed proofs to make the book accessible to a wide audience.
  table of contents: Part 3. Lipschitz Extensions from Subsets of Metric Spaces -- Chapter 6. Extensions of Lipschitz Maps -- Chapter 7. Simultaneous Lipschitz Extensions -- Chapter 8. Linearity and Nonlinearity -- Part 4. Smooth Extension and Trace Problems for Functions on Subsets of Rn -- Chapter 9. Traces to Closed Subsets: Criteria, Applications -- Chapter 10. Whitney Problems -- Bibliography -- Index.
  note: by Alexander Brudnyi, Yuri Brudnyi.
  subject:
    topic: Mathematics
  subject:
    topic: Functional analysis
  subject:
    topic: Mathematics
  subject:
    topic: Functional Analysis
  classification: QA319-329.9
  classification: 515.7
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Monographs in Mathematics ; 103
  identifier: 9783034802123
  identifier: http://dx.doi.org/10.1007/978-3-0348-0212-3
  record info:
    record creation date: 111005
    record change date: 20131130023226.0
    record identifier: 978-3-0348-0212-3