22 citations · 95 across the 25 of their papers we have counts for
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math.AP2016
The Maz'ya-Shaposhnikova limit in the magnetic setting
Andrea Pinamonti, Marco Squassina, Eugenio Vecchi
We prove a magnetic version of the Maz'ya-Shaposhnikova singular limit of nonlocal norms with vanishing fractional parameter. This complements a general convergence result recently…
math.AP2016
Magnetic BV functions and the Bourgain-Brezis-Mironescu formula
Andrea Pinamonti, Marco Squassina, Eugenio Vecchi
We prove a general magnetic Bourgain-Brezis-Mironescu formula. In particular, after developing a theory of magnetic bounded variation functions, we prove the validity of the formul…
math.DG2016★ 2 cited
Sub-Riemannian curvature and a Gauss-Bonnet theorem in the Heisenberg group
Zoltán Balogh, Jeremy T. Tyson, Eugenio Vecchi
We use a Riemannnian approximation scheme to define a notion of for a Euclidean -smooth surface in the Heisenberg group $\mathbb…