FRAMES BY INTEGER TRANSLATIONS

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

Abstract

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.