S. V. Konyagin, A. Yu. Popov, “On the reconstruction of functions by the values of the $n$th differences with step $1/n$”, Trudy Inst. Mat. i Mekh. UrO RAN, 2011, Volume 17, Number 3,Pages 178

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On the reconstruction of functions by the values of the $n$th differences with step $1/n$

S. V. Konyagin^a, A. Yu. Popov^b

^a Steklov Mathematical Institute, Russian Academy of Sciences
^b M. V. Lomonosov Moscow State University

Abstract: We study the problem of the reconstruction of functions by the values of the $n$th differences with step $1/n$ taken at the point $0$. The problem is solved for functions that are analytic in special domains containing the interval $[0,1]$.

Keywords: analytic function, basis in the space of analytic functions.

UDC: 517.537+517.962

Received: 10.01.2011