Wave Front Set of Solutions to Sums of Squares of Vector Fields
Paolo G. Albano, Antonio Bove · Memoirs of the American Mathematical Society · 2012
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.