Abstract
Universal (pointwise uniform and time shifted) truncation error upper bounds are presented in the Whittaker–Kotel'nikov–Shannon sampling restoration sum for Bernstein function class d ∈ ℕ, when the sampled functions decay rate is unknown. The case of multidimensional irregular sampling is discussed.
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Acknowledgement
The authors were supported by the La Trobe University Research Grant-501821 ‘Sampling, wavelets and optimal stochastic modelling’.