J. Fournier

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20142021

most citedThe missing proof of Paley's theorem about lacunary coefficients

2 citations · 3 across the 7 of their papers we have counts for

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math.FA2014

Noncommutative Khintchine and Paley inequalities via generic factorization

John J. F. Fournier

We reprove an inequality for Rademacher series with coefficients in the Schatten class $S_{1}$ . Our method yields the same estimate for coefficients after suitable gaps in $S_{1}$ -valu…

math.FA2014★ 1 cited

Wiener's theorem for positive definite functions on hypergroups

Walter R Bloom, John J. F. Fournier, Michael Leinert

The following theorem on the circle group $T$ is due to Norbert Wiener: If $f \in L^{1} (T)$ has non-negative Fourier coefficients and is square integr…