Joaquim Ortega-Cerdà

collaborators

2 papers

math.CA2025

The Hörmander--Bernhardsson extremal function

Andriy Bondarenko, Joaquim Ortega-Cerdà, Danylo Radchenko +1

We characterize the function $φ$ of minimal $L^{1}$ norm among all functions $f$ of exponential type at most $π$ for which $f (0) = 1$ . This function, studied by Hörmander and Bernhards…

math.FA2024

The Hörmander--Bernhardsson extremal function: A preliminary study

Andriy Bondarenko, Joaquim Ortega-Cerdà, Danylo Radchenko +1

We study the function $φ_{1}$ of minimal $L^{1}$ norm among all functions $f$ of exponential type at most $π$ for which $f (0) = 1$ . This function, first studied by Hörmander and Bernhard…