On Some Sampling-Related Frames in U-Invariant Spaces Articles uri icon

authors

  • FERNANDEZ MORALES, HECTOR RAUL
  • GARCIA GARCIA, ANTONIO
  • HERNANDEZ MEDINA, MIGUEL ANGEL
  • MUÑOZ BOUZO, MARIA JOSE

publication date

  • October 2013

start page

  • 1

end page

  • 14

International Standard Serial Number (ISSN)

  • 1085-3375

Electronic International Standard Serial Number (EISSN)

  • 1687-0409

abstract

  • Abstract: This paper is concerned with the characterization as frames of some sequences in -invariant spaces of a separable Hilbert space H where U denotes an unitary operator defined on H ; besides, the dual frames having the same form are also found. This general setting includes, in particular, shift-invariant or modulation-invariant subspaces in L2(R) , where these frames are intimately related to the generalized sampling problem. We also deal with some related perturbation problems. In doing so, we need the unitary operator to belong to a continuous group of unitary operators.------------------------------------------------- Article ID: 761620