2 citations · 3 across the 7 of their papers we have counts for
7 papers
Minimal Fourier majorants in
John J. F. Fournier, Dean Vrecko
Denote the coefficients in the complex form of the Fourier series of a function on the interval by . It is known that if for some integer $…
Fourier majorants that match norms
John J. F. Fournier
Denote the coefficients in the complex form of the Fourier series of a function on the interval by . It is known that if for some integer $…
Paley's theorem for Hankel matrices via the Schur test
John J. F. Fournier, Bradley G. Wagner
Paley's theorem about lacunary coefficients of functions in the classical space on the unit circle is equivalent to the statement that certain Hankel matrices define bounded…
Discrete Fourier restriction theorems in two dimensions
John J. F. Fournier
Consider the group with the discrete topology, and denote its Fourier algebra by . We reformulate a theorem of V.A. Yudin as a statement…
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 . Our method yields the same estimate for coefficients after suitable gaps in -valu…
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 to work without analytic factorization. This leads to the first direct proof of th…
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 is due to Norbert Wiener: If has non-negative Fourier coefficients and is square integr…