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On the reconstruction of functions from the values of the nth differences with step 1/n

  • S. V. Konyagin
  • A. Yu. Popov
Article
  • 27 Downloads

Abstract

We study the problem of reconstruction of functions from the values of the nth 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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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Steklov Mathematical Institute of the Russian Academy of SciencesMoscowRussia
  2. 2.Faculty of Mechanics and MathematicsMoscow State UniversityMoscowRussia

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