4 citations · 5 across the 8 of their papers we have counts for
8 papers
Real involutive systems on compact Lie groups
Gabriel Araújo, Igor A. Ferra, Max R. Jahnke +1
On a compact connected Lie group , we study the global solvability and the cohomology spaces of the differential complex associated with an essentially real involutive structure…
Relations between different types of Hypoellipticity: A systematic approach
Bruno de Lessa Victor, Luis F. Ragognette
We give a systematic treatment to the concept of hypoellipticity, putting it into an abstract form which allows us to deal with several different notions within the same framework.…
Global solvability and cohomology of tube structures on compact manifolds
Gabriel Araújo, Igor A. Ferra, Max R. Jahnke +1
We introduce new techniques to study the differential complexes associated to tube structures on of corank , in which is a compact manifold and $\mat…
Global analytic hypoellipticity and solvability of certain operators subject to group actions
Gabriel Araújo, Igor A. Ferra, Luis F. Ragognette
On , where is a compact real-analytic manifold and is a compact Lie group, we consider differential operators which are invariant by left translations on $G…
A new microlocal analysis of hyperfunctions
Gustavo Hoepfner, Luis F. Ragognette
In this work we study microlocal regularity of hyperfunctions defining in this context a class of generalized FBI transforms first introduced for distributions by Berhanu and Houni…
Global solvability and propagation of regularity of sums of squares on compact manifolds
Gabriel Araújo, Igor A. Ferra, Luis F. Ragognette
We investigate global solvability, in the framework of smooth functions and Schwartz distributions, of certain sums of squares of vector fields defined on a product of compact Riem…
Global hypoellipticity of sums of squares on compact manifolds
Gabriel Araújo, Igor A. Ferra, Luis F. Ragognette
In this work, we present necessary and sufficient conditions for an operator of the type sum of squares to be globally hypoelliptic on a product of compact Riemannian manifolds $T…
The Baouendi-Treves approximation Theorem for Gevrey classes and applications
Gustavo Hoepfner, Renan D. Medrado, Luis F. Ragognette
In this work we show how to extend the seminal Baouendi-Treves approximation theorem for Gevrey functions and ultradistributions. As applications we present a Gevrey version of the…