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An elementary proof of Fediı's theorem and extensions

David S. Tartakoff

math.AParXiv:math/0609778

Abstract

We present an elementary, L2, proof of Fediı's theorem on arbitrary (e.g., infinite order) degeneracy and extensions. In particular, the proof allows and shows C∞, Gevrey, and real analytic hypoellipticity, and allows the coefficents to depend on the remaining variable as well.

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