5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AP2026
Microlocal maximal hypoellipticity from the geometric viewpoint: I
Omar Mohsen
Given some vector fields on a smooth manifold satisfying Hörmander's condition, we define a bi-graded pseudo-differential calculus which contains the classical pseudo-differential…
math.OA2026
Abstract maximal hypoellipticity and applications
Omar Mohsen
We prove an abstract theorem of maximal hypoellipticy showing that in an abstract calculus under some natural assumptions, an operator is maximally hypoelliptic if and only if its…
math.AP2022★ 5 cited
A pseudodifferential calculus for maximally hypoelliptic operators and the Helffer-Nourrigat conjecture
Iakovos Androulidakis, Omar Mohsen, Robert Yuncken
We extend the classical regularity theorem of elliptic operators to maximally hypoelliptic differential operators. More precisely, given vector fields on a smooth…