Perturbation theorems for regular sampling in shift-invariant spaces are derived using a generalized perturbation theorem for frames in a Hilbert space, which generalizes the irregular sampling theorem established by Chen Using this generalized irregular sampling theorem, estimates for the maximum perturbation are obtained. Some typical examples illustrate the result
['Ping Zhao', 'Chun Zhao', 'Peter G. Casazza']
Perturbation of Regular Sampling in Shift-Invariant Spaces for Frames