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A Pochhammer type sampling reconstruction of analytic functions |
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| Authors: | A Melas |
| Institution: | a University of Athens, Department of Mathematics, Panepistimiopolis, Athens 15784, Greece b Aristotle University of Thessaloniki, Department of Informatics, Thessaloniki, Greece |
| Abstract: | We give a characterization of the functions f analytic on the half-plane Re(z)>σ that can be expressed in the form  for some βn∈C. It will follow that the βn depend on the values of f on the integers so this gives a sampling reconstruction of these functions. Several examples of this representation are given. |
| Keywords: | Sampling Analytic functions Pochhammer reconstruction |
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