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- W4226014499 abstract "On $T times G$, where $T$ is a compact real-analytic manifold and $G$ is a compact Lie group, we consider differential operators $P$ which are invariant by left translations on $G$ and are elliptic in $T$. Under a mild technical condition, we prove that global hypoellipticity of $P$ implies its global analytic-hypoellipticity (actually Gevrey of any order $s geq 1$). We also study the connection between the latter property and the notion of global analytic (resp. Gevrey) solvability, but in a much more general setup." @default.
- W4226014499 created "2022-05-05" @default.
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- W4226014499 date "2021-11-13" @default.
- W4226014499 modified "2023-09-27" @default.
- W4226014499 title "Global analytic hypoellipticity and solvability of certain operators subject to group actions" @default.
- W4226014499 hasPublicationYear "2021" @default.
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