Author: S. Tikhonov
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  • 1 Scuola Normale Superiore Piazza dei Cavalieri 7 Pisa 56126 Italy
  • | 2 ICREA and Centre de Recerca Matemàtica Apartat 50 E-08193 Barcelona Spain
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Abstract  

We describe the functions from Nikol’skii class in terms of behavior of their Fourier coefficients. Results for series with general monotone coefficients are presented. The problem of strong approximation of Fourier series is also studied.