4 papers
math.CA2025
On a Sharp Fourier Extension Inequality on the Circle with Lacunary Spectrum
Felipe Gonçalves, João Paulo Ferreira
We prove a sharp Fourier extension inequality on the circle for the Tomas-Stein exponent for functions whose spectrum satisfies .
math.CA2025
A Complete Classification of Fourier Summation Formulas on the real line
Felipe Gonçalves, Guilherme Vedana
We completely classify Fourier summation formulas of the form that hold for any test function , wher…
math.CA2019
A Universality Law For Sign Correlations of Eigenfunctions of Differential Operators
Felipe Gonçalves, Diogo Oliveira e Silva, Stefan Steinerberger
We establish a universality law for sequences of functions satisfying a form of WKB approximation on compact intervals. This includes eigenfunctions of…
math.CV2015
Interpolation Formulas With Derivatives in De Branges Spaces
Felipe Gonçalves
The purpose of this paper is to prove an interpolation formula involving derivatives for entire functions of exponential type. We extend the interpolation formula derived by J. Vaa…