A Pochhammer type sampling reconstruction of analytic functions

作者:Melas A; Bagis N*
来源:Journal of Mathematical Analysis and Applications, 2011, 373(1): 214-226.
DOI:10.1016/j.jmaa.2010.06.040

摘要

We give a characterization of the functions f analytic on the half-plane Re(z) > sigma that can be expressed in the form f(z) = Sigma(infinity)(n=0) beta(n) (-z)n/n! for some beta(n) is an element of C. It will follow that the beta(n) 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.

  • 出版日期2011-1-1

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