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Remarks about global analytic hypoellipticity
Authors:Adalberto P. Bergamasco
Affiliation:Departamento de Matemática, UFSCar, Caixa Postal 676, 13565-905, São Carlos, SP, Brazil
Abstract:We present a characterization of the operators

begin{displaymath}L=partial/partial t+(a(t)+ib(t))partial/partial xend{displaymath}

which are globally analytic hypoelliptic on the torus. We give information about the global analytic hypoellipticity of certain overdetermined systems and of sums of squares.

Keywords:Global analytic hypoellipticity   exponential Liouville numbers   exponential Liouville vectors   steepest descent   involutive systems   continued fractions.
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