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: Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations
    sub title: A Monograph Based on Articles of the Founding Authors, Reproduced in Full
  name:
    name part: Stankovic, Radomir S.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: L. Butzer, Paul.
    role:
      role term: author.
  name:
    name part: Schipp, Ferenc.
    role:
      role term: author.
  name:
    name part: Wade, William R.
    role:
      role term: author.
  name:
    name part: Su, Weiyi.
    role:
      role term: author.
  name:
    name part: Endow, Yasushi.
    role:
      role term: author.
  name:
    name part: Fridli, Sandor.
    role:
      role term: author.
  name:
    name part: Golubov, Boris I.
    role:
      role term: author.
  name:
    name part: Pichler, Franz.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: fr
    date issued: 2015
    edition: 1st ed. 2015.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXIV, 455 p. online resource.
  abstract: Dyadic (Walsh) analysis emerged as a new research area in applied mathematics and engineering in early seventies within attempts to provide answers to demands from practice related to application of spectral analysis of different classes of signals, including audio, video, sonar, and radar signals. In the meantime, it evolved in a mature mathematical discipline with fundamental results and important features providing basis for various applications. The book will provide fundamentals of the area through reprinting carefully selected earlier publications followed by overview of recent results concerning particular subjects in the area written by experts, most of them being founders of the field, and some of their followers. In this way, this first volume of the two volume book offers a rather complete coverage of the development of dyadic Walsh analysis, and provides a deep insight into its mathematical foundations necessary for consideration of generalizations and applications that are the subject of the second volume. The presented theory is quite sufficient to be a basis for further research in the subject area as well as to be applied in solving certain new problems or improving existing solutions for tasks in the areas which motivated development of the dyadic analysis.
  table of contents: Early History of Walsh Analysis -- My involvement in Walsh and Dyadic Analysis -- The Origins of the Dyadic Derivative due to James Edmund Gibbs -- Early Contributions from the Aachen School to Dyadic Walsh Analysis with Applications to Dyadic PDEs and Approximation Theory -- Dyadic Derivative, Summation, Approximation -- How I Started My Research in Walsh and Dyadic Analysis -- My Involvement with the Dyadic Derivative -- Hardy Spaces in the Theory of Dyadic Derivative -- Term by Term Dyadic Differentiation of Walsh Series -- Why I got Interested in Dyadic Differentiation -- Dyadic Derivative and Walsh-Fourier Transform -- How I started my research in Walsh and dyadic analysis.
  note: by Radomir S. Stankovic, Paul L. Butzer, Ferenc Schipp, William R. Wade, Weiyi Su, Yasushi Endow, Sandor Fridli, Boris I. Golubov, Franz Pichler.
  subject:
    topic: Mathematics
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Harmonic analysis
  subject:
    topic: Mathematics
  subject:
    topic: Abstract Harmonic Analysis
  subject:
    topic: Math Applications in Computer Science
  classification: QA403-403.3
  classification: 515.785
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Atlantis Studies in Mathematics for Engineering and Science, 12
  identifier: 9789462391604
  identifier: http://dx.doi.org/10.2991/978-94-6239-160-4
  record info:
    record creation date: 151229
    record change date: 20151229154522.0
    record identifier: 978-94-6239-160-4