Sampling theorems with derivatives in shift-invariant spaces generated by exponential B-splines

Karlheinz Gröchenig, Irina Shafkulovska

Abstract: We derive sufficient conditions for sampling with derivatives in shift-invariant spaces generated by an exponential B-spline. The sufficient conditions are expressed by a new notion of measuring the gap between consecutive points. As a consequence, we can construct sampling sets arbitrarily close to necessary conditions.

Submission Type: Full Paper