3 papers
math.CA2022
Sign uncertainty principles and low-degree polynomials
Henry Cohn, Dingding Dong, Felipe Gonçalves
We prove an asymptotically sharp version of the Bourgain-Clozel-Kahane and Cohn-Gonçalves sign uncertainty principles for polynomials of sublinear degree times a Gaussian, as the d…
math.CA2018
Mean convergence of entire interpolations in weighted space
Felipe Gonçalves, Friedrich Littmann
We investigate the convergence of entire Lagrange interpolations and of Hermite interpolations of exponential type in weighted -spaces on the real line. The weights are recipr…
math.CV2015
Interpolation Formulas With Derivatives in De Branges Spaces II
Felipe Gonçalves, Friedrich Littmann
We investigate necessary and sufficient conditions under which entire functions in de Branges spaces can be recovered from function values and values of derivatives. Our main focus…