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: Prolate Spheroidal Wave Functions of Order Zero
    sub title: Mathematical Tools for Bandlimited Approximation
  name:
    name part: Osipov, Andrei.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Rokhlin, Vladimir.
    role:
      role term: author.
  name:
    name part: Xiao, Hong.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 379 p. 30 illus. online resource.
  abstract: Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. While historically the numerical evaluation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special functions. As a result, PSWFs have been becoming a popular computational tool. The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematicians interested in PSWF as an analytical tool to electrical engineers designing filters and antennas.
  table of contents: Introduction -- Mathematical and Numerical Preliminaries -- Overview.- Analysis of the Differential Operator.- Analysis of the Integral Operator.- Rational Approximations of PSWFs.-Miscellaneous Properties of PSWFs.- Asymptotic Analysis of PSWFs.- Quadrature Rules and Interpolation via PSWFs.- Numerical Algorithms .- .
  note: by Andrei Osipov, Vladimir Rokhlin, Hong Xiao.
  subject:
    topic: Mathematics
  subject:
    topic: Numerical analysis
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Mathematics
  subject:
    topic: Numerical Analysis
  subject:
    topic: Signal, Image and Speech Processing
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  classification: QA297-299.4
  classification: 518
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Applied Mathematical Sciences, 187
  identifier: 9781461482598
  identifier: http://dx.doi.org/10.1007/978-1-4614-8259-8
  record info:
    record creation date: 131012
    record change date: 20151030091049.0
    record identifier: 978-1-4614-8259-8