Global hypoellipticity of G-invariant operators on homogeneous vector bundles: Global hypoellipticity of G-invariant operators on...: D. Cardona, A. P. Kowacs.

We establish necessary and sufficient conditions for the global hypoellipticity of G-invariant operators on homogeneous vector bundles. These criteria are established in terms of the corresponding matrix-valued symbols as developed by Ruzhansky and Turunen and extended in (Pseudo-differential operators on Homogeneous vector bundles over compact homogeneous manifolds, ) to homogeneous vector bundles. [ABSTRACT FROM AUTHOR]