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A Class of Sums of Squares with a Given Poisson-Treves Stratification

Antonio Bove·David S. Tartakoff
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Abstract

We study a class of sum of squares exhibiting the same Poisson-Treves stratification as the Oleinik-Radkevič operator. We find three types of operators having distinct microlocal structures. For one of these we prove a Gevrey hypoellipticity theorem analogous to our recent result for the corresponding Oleinik-Radkevič operator.

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Antonio Bove, David S. Tartakoff. 2006-09-28. A Class of Sums of Squares with a Given Poisson-Treves Stratification. https://arxiv.org/abs/math/0609803

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