We introduce new techniques to study the differential complexes associated to tube
structures on M× T m of corank m, in which M is a compact manifold and T m is the m-torus …

Given M a compact, connected and orientable, real-analytic manifold, and closed, real-
valued, real-analytic 1-forms ω 1,…, ω m on M, we characterize the global analytic …

Let M be a compact, connected, orientable and real-analytic manifold; consider closed, real-
valued, real-analytic 1-forms ω 1,…, ω m on M and the differential complex over M× T m …

We investigate the global hypoellipticity and global solvability of systems of left-invariant
differential operators on compact Lie groups. Focusing on diagonal systems, we establish …

We study the Hölder solvability of a class of complex vector fields on the torus $\mathbb {T}^
2$. We make use of the Theta function to associate a Cauchy-Pompeiu type integral …

To a system of n closed one-forms on the torus T^ m+ n T m+ n, we associate a differential
complex and compute the induced cohomology groups in the s-Gevrey category, provided …

This work continues a previous study by Hounie and Zugliani on the global solvability of a
locally integrable structure of tube type and a corank one, considering a linear partial …

We study the global solvability of a locally integrable structure of tube type and co-rank 1 by
considering a linear partial differential operator LL associated to a general complex smooth …

Abstract Pittie (Proc Indian Acad Sci Math Sci 98: 117-152, 1988) proved that the Dolbeault
cohomology of all left-invariant complex structures on compact Lie groups can be computed …