A Sampling Theorem with Nonuniform Complex Nodes Original Research Article

Using contour integration and a multiplier technique, we establish a sampling theorem with nonuniform complex nodes (tn)n∈Zwhich applies to entire functions of exponential type including band-limitedL2-functions. The sequence (tn)n∈Zmust satisfy supn∈Z |R(tn)−n|<∞ and supn∈Z |I(tn)|<∞. The sampled function may grow faster than any polynomial on the real line.