Global hypoellipticity of $G$-invariant operators on homogeneous vector bundles

Abstract

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 [7] to homogeneous vector-bundles.

arXiv comment15 pages