Guilherme Vedana

collaborators

3 papers

math.CA2026

Classification of Fourier summation formulas on a horizontal strip

Guilherme Vedana

We extend the classification of Fourier summation formulas to the setting in which the measure $μ$ is supported on a strip of finite width in $C$ . This broader framework e…

math.CA2025

A Complete Classification of Fourier Summation Formulas on the real line

Felipe GonÃ§alves, Guilherme Vedana

We completely classify Fourier summation formulas of the form $\int_{R} I ¨ (t) d I^¼ (t) = n = 0 \sum \infty a (I^»_{n}) I ¨ (I^»_{n}),$ that hold for any test function $I ¨ $ …

math.NT2025

Sphere Packings in Euclidean Space with Forbidden Distances

Felipe GonÃ§alves, Guilherme Vedana

We study the sphere packing problem in Euclidean space where we impose additional constraints on the separations of the center points. We prove that any sphere packing in dimension…