Un théorème de Helson pour des séries de Walsh

Details Un théorème de Helson pour des séries de Walsh Un théorème de Helson pour des séries de Walsh

2007-09-27

arxiv.org/abs/0709.4381v1

Mathematics

Classical Analysis and ODEs

The paper was written for the 50th anniversary of Henry Helson's article and the 70th anniversary of Yitzhak Katznelson

Scientific paper

Extension to Walsh series of theorems of Helson and Katznelson on
trigonometric series, saying that a trigonometric series whose partial sums are
positive has its coefficients tend to zero but is not necessarily a
Fourier-Lebesgue series

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