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.CA2014

Discrete Fourier restriction theorems in two dimensions

John J. F. Fournier

Consider the group $R^{2}$ with the discrete topology, and denote its Fourier algebra by $A (R_{d}^{2})$ . We reformulate a theorem of V.A. Yudin as a statement…

math.CA2014★ 2 cited

The missing proof of Paley's theorem about lacunary coefficients

John J. F. Fournier

We modify the standard proof of Paley's theorem about lacunary coefficients of functions in $H^{1}$ to work without analytic factorization. This leads to the first direct proof of th…