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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.CO2026
Sharp Lower Bounds for Sumsets in Hypercubes
Felipe Gonçalves, Danylo Radchenko
We prove a sharp lower bound for the cardinality of sumsets of subsets of confined to a hypercube, resolving in strong form a conjecture that was made explicit by Be…