Geodesic
On the reconstruction of functions by the values of the $n$th differences with step $1/n$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 178-185
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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. 
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S. V. Konyagin; A. Yu. Popov. On the reconstruction of functions by the values of the $n$th differences with step $1/n$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 3, pp. 178-185. http://geodesic.mathdoc.fr/item/TIMM_2011_17_3_a17/

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