Session III.2 - Approximation Theory
Poster
Sampling theorems with derivatives in shift-invariant spaces generated by exponential B-splines
Irina Shafkulovska
University of Vienna, Austria - This email address is being protected from spambots. You need JavaScript enabled to view it.
We present 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.
Joint work with Karlheinz Gröchenig (University of Vienna, Austria).