• DocumentCode
    719231
  • Title

    Cardinal sine series: Oversampling and non-existence

  • Author

    Bailey, B.A. ; Madych, W.R.

  • Author_Institution
    Dept. of Math., Univ. of Connecticut, Storrs, CT, USA
  • fYear
    2015
  • fDate
    25-29 May 2015
  • Firstpage
    21
  • Lastpage
    24
  • Abstract
    Growth conditions are given on the samples f(n), n = 0, ±1, ±2, ..., of an entire function f(z) of exponential type less than π that imply that the corresponding cardinal sine series converges. These conditions are the least restrictive of their kind that are possible. Furthermore, an example is provided of an entire function f(z) of exponential type π that is bounded on the real axis and whose corresponding cardinal sine series fails to converge.
  • Keywords
    series (mathematics); signal sampling; cardinal sine series; signal sampling; Approximation methods; Convergence; Indexes; Polynomials; Presses; Splines (mathematics); cardinal series; entire functions of exponential type; oversampling; sampling theorems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Sampling Theory and Applications (SampTA), 2015 International Conference on
  • Conference_Location
    Washington, DC
  • Type

    conf

  • DOI
    10.1109/SAMPTA.2015.7148842
  • Filename
    7148842
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=719231