We study the (micro)hypoanalyticity and the Gevrey hypoellipticity of sums of squares of vector fields in terms of the Poisson-Treves stratification. The FBI transform is used. We prove hypoanalyticity for several classes of sums of squares and show that our method, though not general, includes almost every known hypoanalyticity result. Examples are discussed.

Paolo Albano, Antonio Bove (2013). Wave Front Set of Solutions to Sums of Squares of Vector Fields. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 221(1039), 1-91 [10.1090/S0065-9266-2012-00663-0].

Wave Front Set of Solutions to Sums of Squares of Vector Fields

ALBANO, PAOLO;BOVE, ANTONIO
2013

Abstract

We study the (micro)hypoanalyticity and the Gevrey hypoellipticity of sums of squares of vector fields in terms of the Poisson-Treves stratification. The FBI transform is used. We prove hypoanalyticity for several classes of sums of squares and show that our method, though not general, includes almost every known hypoanalyticity result. Examples are discussed.
2013
Paolo Albano, Antonio Bove (2013). Wave Front Set of Solutions to Sums of Squares of Vector Fields. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 221(1039), 1-91 [10.1090/S0065-9266-2012-00663-0].
Paolo Albano; Antonio Bove
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/142607
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