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: Global Pseudo-Differential Calculus on Euclidean Spaces
  name:
    name part: Nicola, Fabio.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Rodino, Luigi.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 306 p. online resource.
  abstract: This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations. The pseudo-differential calculus presented here has an elementary character, being addressed to a large audience of scientists. It includes the standard classes with global homogeneous structures, the so-called G and gamma operators. Concerning results for the applications, a first main line is represented by spectral theory. Beside complex powers of operators and asymptotics for the counting function, particular attention is here devoted to the non-commutative residue in Euclidean spaces and the Dixmier trace. Second main line is the self-contained presentation, for the first time in a text-book form, of the problem of the holomorphic extension of the solutions of the semi-linear globally elliptic equations. Entire extensions are discussed in detail. Exponential decay is simultaneously studied.
  table of contents: Background meterial -- Global Pseudo-Differential Calculus -- ?-Pseudo-Differential Operators and H-Polynomials -- G-Pseudo-Differential Operators -- Spectral Theory -- Non-Commutative Residue and Dixmier Trace -- Exponential Decay and Holomorphic Extension of Solutions.
  note: by Fabio Nicola, Luigi Rodino.
  subject:
    topic: Mathematics
  subject:
    topic: Fourier analysis
  subject:
    topic: Functional analysis
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Partial differential equations
  subject:
    topic: Mathematics
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Global Analysis and Analysis on Manifolds
  subject:
    topic: Fourier Analysis
  subject:
    topic: Functional Analysis
  classification: QA370-380
  classification: 515.353
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Pseudo-Differential Operators, Theory and Applications ; 4
  identifier: 9783764385125
  identifier: http://dx.doi.org/10.1007/978-3-7643-8512-5
  record info:
    record creation date: 110129
    record change date: 20151204145031.0
    record identifier: 978-3-7643-8512-5