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: Traces and determinants of pseudodifferential operators
  name:
    name part: Scott, Simon (Simon Gareth)
    role:
      role term: creator
    role:
      role term: author.
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: enk
    place:
      place term: Oxford
    place:
      place term: New York
    publisher: Oxford University Press
    date issued: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xiv, 676 pages).
  abstract: Annotation Trace and determinant functionals on operator algebras provide a means of constructing invariants in analysis, topology, differential geometry, analytic number theory, and quantum field theory. The consequent developments around such invariants have led to significant advances both in pure mathematics and theoretical physics. As the fundamental tools of trace theory have become well understood and clear general structures have emerged, so the need for specialist texts which explain the basic theoretical principles and computational techniques has become increasingly urgent. Providing a broad account of the theory of traces and determinants on algebras of differential and pseudodifferential operators over compact manifolds, this text is the first to deal with trace theory in general, encompassing a number of the principle applications and backed up by specific computations which set out in detail the nuts-and-bolts of the basic theory. Both the microanalytic approach to traces and determinants via pseudodifferential operator theory and the more computational approach directed by applications in geometric analysis, are developed in a general framework that will be of interest to mathematicians and physicists in a number of different fields.
  table of contents: Traces -- Determinants -- Computations, transition formulae, and the local index formula -- Pseudodifferential operator trace formulae -- Geometric families of pseudodifferential operators and determinant line bundles.
  note: Simon Scott.
  note: Includes bibliographical references and index.
  note: English.
  subject:
    topic: Pseudodifferential operators
  subject:
    topic: Elliptic operators
  subject:
    topic: Opérateurs pseudo-différentiels
  subject:
    topic: Opérateurs elliptiques
  subject:
    topic: Elliptic operators
  subject:
    topic: Pseudodifferential operators
  classification: QA329.7 .S36 2010eb
  classification: 515.7242
  related item:
    title info:
      title: Traces and determinants of pseudodifferential operators
    name:
      name part: Scott, Simon (Simon Gareth).
    origin info:
      publisher: Oxford ; New York : Oxford University Press, 2010
    identifier: (DLC) 2010935093
    identifier: (OCoLC)214305872
  related item:
    title info:
      title: Oxford mathematical monographs
  identifier: 9780191594748
  identifier: 0191594741
  identifier: 9780198568360
  identifier: 0198568363
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: COO
    record creation date: 080221
    record change date: 20260318184519.6
    record identifier: in00005706078
    language of cataloging:
      language term: eng