Sampling-related frames in finite U-invariant subspaces Articles uri icon

publication date

  • July 2015

start page

  • 173

end page

  • 184

issue

  • 1

volume

  • 39

International Standard Serial Number (ISSN)

  • 1063-5203

Electronic International Standard Serial Number (EISSN)

  • 1096-603X

abstract

  • Recently, a sampling theory for infinite dimensional U-invariant subspaces of a separable Hilbert space H where U denotes a unitary operator on H has been obtained. Thus, uniform average sampling for shift-invariant subspaces of L-2(R) becomes a particular example. As in the general case it is possible to have finite dimensional U-invariant subspaces, the main aim of this paper is to derive a sampling theory for finite dimensional U-invariant subspaces of a separable Hilbert space H. Since the used samples are frame coefficients in a suitable euclidean space C-N, the problem reduces to obtain dual frames with a U-invariance property. (C) 2014 Elsevier Inc. All rights reserved