Remarks on Analytic Hypoellipticity
Palavras-chave:Analytic hypoellipticity, Sum of squares
ResumoWe will compare the foIlowing ideas: analytic hypoeIlipticity on open subsets of Euclidean space; global analytic hypoeIlipticity; analytic hypoeIlipticity in the sense of germs. We present a new operator which posseses Treves curves, yet is analytic hypoelliptic in the sense of germs. That is, the analog of the Treves conjecture, in the sense of germs, is false.
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Hanges, N. (2014). Remarks on Analytic Hypoellipticity. Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 5(3), 159-169. https://doi.org/10.11606/resimeusp.v5i3.75049