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

Published 26 Oct 2023 in math.AP | (2310.17288v3)

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.

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