3 papers
math.AP2025
Global hypoellipticity of systems of Fourier multipliers on compact Lie groups
André Pedroso Kowacs
We apply the characterization of global hypoellipticity for -invariant operators on homogeneous vector bundles obtained by Cardona and Kowacs [J. Pseudo-Differ. Oper. Appl. 16,…
math.SP2024
Lieb-Thirring inequalities on the spheres and
André Pedroso Kowacs, Michael Ruzhansky
In this paper, we obtain new upper bounds for the Lieb-Thirring inequality on the spheres of any dimension greater than . As far as we have checked, our results improve previous…
math.AP2024
Vector Valued Gårding Inequality for pseudo-differential operators on compact homogeneous manifolds
André Kowacs, Michael Ruzhansky
We prove sufficient conditions in order to obtain a sharp Gårding inequality for pseudo-differential operators acting on vector-valued functions on compact Lie groups. As a consequ…