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:
    non sort: The
    title: XFT Quadrature in Discrete Fourier Analysis
  name:
    name part: Campos, Rafael G.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 235 p. 100 illus., 96 illus. in color. online resource.
  abstract: This book has two main objectives, the first of which is to extend the power of numerical Fourier analysis and to show by means of theoretical examples and numerous concrete applications that when computing discrete Fourier transforms of periodic and non periodic functions, the usual kernel matrix of the Fourier transform, the discrete Fourier transform (DFT), should be replaced by another kernel matrix, the eXtended Fourier transform (XFT), since the XFT matrix appears as a convergent quadrature of a more general transform, the fractional Fourier transform. In turn, the book's second goal is to present the XFT matrix as a finite-dimensional transformation that links certain discrete operators in the same way that the corresponding continuous operators are related by the Fourier transform, and to show that the XFT matrix accordingly generates sequences of matrix operators that represent continuum operators, and which allow these operators to be studied from another perspective.
  table of contents: Introduction -- The ordinary discrete Fourier transform -- XFT: A discrete Fourier transform -- Applications of the XFT -- A discrete fractional Fourier transform.
  note: by Rafael G. Campos.
  subject:
    topic: Special functions
  subject:
    topic: Functions of real variables
  subject:
    topic: Integral transforms
  subject:
    topic: Operational calculus
  subject:
    topic: Special Functions
  subject:
    topic: Real Functions
  subject:
    topic: Integral Transforms, Operational Calculus
  classification: QA351
  classification: 515.5
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Applied and Numerical Harmonic Analysis
  identifier: 9783030134235
  identifier: https://doi.org/10.1007/978-3-030-13423-5
  record info:
    record creation date: 190524
    record change date: 20191220130324.0
    record identifier: 978-3-030-13423-5