On Regular Generalized Sampling in T-Invariant Subspaces of a Hilbert Space: An Overview Articles uri icon

publication date

  • January 2020

start page

  • 685

end page

  • 709


  • 6


  • 41

International Standard Serial Number (ISSN)

  • 0163-0563

Electronic International Standard Serial Number (EISSN)

  • 1532-2467


  • A regular generalized sampling theory in some structured T-invariant subspaces of a Hilbert space H, where T denotes a bounded invertible operator in H, is established in this paper. This is done by walking through the most important cases which generalize the usual unitary sampling settings.


  • 42c15; 94a20; dual frames; riesz sequences; sampling expansions; t-invariant subspaces