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- Centre National de la Recherche ScientifiqueFR105 papers
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5 papers · 2 filters
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…
One-sided Band-limited Approximations of Some Radial Functions
Felipe Gonçalves, Michael Kelly, José Madrid
We construct majorants and minorants of a Gaussian function in Euclidean space that have Fourier transforms supported in a box. The majorants that we construct are shown to be extr…
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^{…
limit solutions for control systems
M. Soledad Aronna, Franco Rampazzo
For a control Cauchy problem on an interval , we propose a notion of limit solution verifying…