Interpolation and Sampling: E.T. Whittaker, K. Ogura and Their Followers

@article{Butzer2011InterpolationAS,
title={Interpolation and Sampling: E.T. Whittaker, K. Ogura and Their Followers},
author={P. L. Butzer and Paulo Jorge S. G. Ferreira and J. R. Higgins and Saburou Saitoh and Gerhard Schmeisser and Rudolf L. Stens},
journal={Journal of Fourier Analysis and Applications},
year={2011},
volume={17},
pages={320-354}
}
• Published 1 April 2011
• Mathematics
• Journal of Fourier Analysis and Applications
The classical sampling theorem has often been attributed to E.T. Whittaker, but this attribution is not strictly valid. One must carefully distinguish, for example, between the concepts of sampling and of interpolation, and we find that Whittaker worked in interpolation theory, not sampling theory. Again, it has been said that K. Ogura was the first to give a properly rigorous proof of the sampling theorem. We find that he only indicated where the method of proof could be found; we identify…
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