Universal truncation error upper bounds in irregular sampling restoration

preprint2013arXivOpen access

Abstract

Universal (pointwise uniform and time shifted) truncation error upper bounds are presented in Whittaker--Kotel'nikov--Shannon (WKS) sampling restoration sum for Bernstein function class Bπ,dq , q≥1,B_{π,d}^q\,,\ q \ge 1, d∈N ,d\in \mathbb N\,, when the sampled functions decay rate is unknown. The case of multidimensional irregular sampling is discussed.

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