An elementary proof of Fedi\uı's theorem and extensions

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We present an elementary, $L^2,$ proof of Fedi\uı's theorem on arbitrary (e.g., infinite order) degeneracy and extensions. In particular, the proof allows and shows $C^\infty,$ Gevrey, and real analytic hypoellipticity, and allows the coefficents to depend on the remaining variable as well.
5pp

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