19 citations · 19 across the 2 of their papers we have counts for
2 papers
math.AP2026
Global hypoellipticity for perturbations of complex vector fields on the torus
Maria V. Bartmeyer, Paulo L. Dattori da Silva, Rafael B. Gonzalez
We apply Krönecker's approximation theorem to measure (in a topological sense) a set of constants which turn a vector field into a non-globally hypoelliptic operator. We present si…
math.AP2016★ 19 cited
Global hypoellipticity for a class of pseudo-differential operators on the torus
Fernando de Ávila Silva, Rafael Borro Gonzalez, Alexandre Kirilov +1
We show that an obstruction of number-theoretical nature appears as a necessary condition for the global hypoellipticity of the pseudo-differential operator …