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: Interpolation and Sidon Sets for Compact Groups
  name:
    name part: Graham, Colin C.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Hare, Kathryn E.
    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: XVII, 249 p. online resource.
  abstract: Understanding special sets of integers was classically of interest to Hadamard, Zygmund and others, and continues to be of interest today. This book is a modern treatment of the subject of interpolation and Sidon sets. It is a unique book, aimed at both new and experienced researchers. In particular, this is the only book in English which features a complete treatment of the Pisier-Bourgain results on Sidon sets, many of which were originally in French, in hard to access publications. Applications of the P-B results, due to Pisier, Bourgain, Ramsey, and the authors are included. The book introduces the reader to a wealth of methods important in mathematics today: topological, probabilistic, algebraic, combinatoric and analytic. It prepares students to perform research in the area and provides both exercises and open problems. The book also provides direction to the literature for topics it does not fully cover. The book is self-contained, with appendices covering results that are required, but not necessarily in the pre-requisite background of a student ready to choose an area for research in harmonic analysis.
  table of contents: Preface -- Introduction -- Hadamard Sets -- $\epsilon$-Kronecker sets -- Sidon sets: Introduction and decomposition properties -- Characterizations of $I_0$ sets -- Proportional characterizations of Sidon sets -- Decompositions of $I_0$ sets -- Sizes of thin sets -- Sets of zero discrete harmonic density -- Related results.-Open problems -- Appendices (Groups, Probability, Combinatoric results,...) -- Bibliography -- Author index -- Subject index -- Index of notation.
  note: by Colin C. Graham, Kathryn E. Hare.
  subject:
    topic: Mathematics
  subject:
    topic: Harmonic analysis
  subject:
    topic: Fourier analysis
  subject:
    topic: Functional analysis
  subject:
    topic: Mathematics
  subject:
    topic: Abstract Harmonic Analysis
  subject:
    topic: Fourier Analysis
  subject:
    topic: Functional Analysis
  classification: QA403-403.3
  classification: 515.785
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC
  identifier: 9781461453925
  identifier: http://dx.doi.org/10.1007/978-1-4614-5392-5
  record info:
    record creation date: 130107
    record change date: 20130727055834.0
    record identifier: 978-1-4614-5392-5