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Criterion for convergence almost everywhere, with applications

Published 14 Jul 2015 in math.FA | (1507.04020v1)

Abstract: We derive the necessary and sufficient condition for almost sure convergence of the sequence of measurable functions, and consider some applications in the theory of Fourier series and in the theory of random fields.

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Authors (2)

  1. E. Ostrovsky 
  2. L. Sirota 

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