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math.CA2026
The Hörmander--Bernhardsson function in higher dimensions
Felipe Gonçalves, Danylo Radchenko, Antonio Pedro Ramos
We study the problem of finding the norm of the point evaluation operator in the Paley--Wiener space $PW^{1}(\r^d)$, consisting of -variable functions of spherical exponential t…
math.CA2024
Sign uncertainty and de Branges spaces
Emanuel Carneiro, Tolibjon Ismoilov, Antonio Pedro Ramos
We investigate here the sign uncertainty phenomenon for bandlimited functions, with a competing condition given by integration with respect to a general measure. Our main result pr…
math.CA2023
Sharp embeddings between weighted Paley-Wiener spaces
Emanuel Carneiro, Cristian González-Riquelme, Lucas Oliveira +4
In this paper we address the problem of estimating the operator norm of the embeddings between multidimensional weighted Paley-Wiener spaces. These can be equivalently thought as F…