83 citations · 1k across the 45 of their papers we have counts for
4 papers · 1 filter
Extremal problems in de Branges spaces: the case of truncated and odd functions
Emanuel Carneiro, Felipe Gonçalves
In this paper we find extremal one-sided approximations of exponential type for a class of truncated and odd functions with a certain exponential subordination. These approximation…
Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function
Emanuel Carneiro, Vorrapan Chandee, Friedrich Littmann +1
Montgomery's pair correlation conjecture predicts the asymptotic behavior of the function defined to be the number of pairs and of ordinates of nontrivial zeros o…
Extremal functions in de Branges and Euclidean spaces
Emanuel Carneiro, Friedrich Littmann
In this work we obtain optimal majorants and minorants of exponential type for a wide class of radial functions on . These extremal functions minimize the $L^1(\mathb…
Some sharp restriction inequalities on the sphere
Emanuel Carneiro, Diogo Oliveira e Silva
In this paper we find the sharp forms and characterize the complex-valued extremizers of the adjoint Fourier restriction inequalities on the sphere $$\big\|\widehat{f σ}\big\|_{L^{…