Global ultradifferentiable hypoellipticity on compact manifolds

Published 23 Oct 2021 in math.AP | (2110.12209v1)

Abstract: We study the global hypoellipticity problem for certain linear operators in Komatsu classes of Roumieu and Beurling type on compact manifolds. We present an approach by combining a characterization of these spaces via eigenfuction expansions, generated by an elliptic operator, and the analysis of matrix-symbols obtained by these expansions.

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