Abstract
In all of the above cases, the characteristic variety for the operator has been symplectic, in fact, a symplectic manifold. This is in agreement with the spirit of Treves’ conjecture that in order to have analytic hypoellipticity, the characteristic variety and all the subsidiary Poisson strata should be symplectic.
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Tartakoff, D.S. (2011). Nonsymplectic Strata and Germ Analytic Hypoellipticity. In: Nonelliptic Partial Differential Equations. Developments in Mathematics, vol 22. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9813-2_11
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DOI: https://doi.org/10.1007/978-1-4419-9813-2_11
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Publisher Name: Springer, New York, NY
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Online ISBN: 978-1-4419-9813-2
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