Journal of the Korean Society for Industrial and Applied Mathematics

  • 제11권3호
  • /
  • Pages.1-5
  • /
  • 2007
  • /
  • 1226-9433(pISSN)
  • /
  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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FRAMES BY INTEGER TRANSLATIONS

  • Kim, J.M. (Department of Mathematical Sciences, KAIST) ;
  • Kwon, K.H. (Department of Mathematical Sciences, KAIST)
  • 발행 : 2007.09.30
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초록

We give an elementary proof of a necessary and sufficient condition for integer translates {${\phi}(t-{\alpha})\;:\;{\alpha}{\in}{\mathbb{Z}}^d$} of ${\phi}$(t) in $L^2({\mathbb{R}}^d)$ to be a frame sequence.

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