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AKk_2n_2 analogue analytic hypoelliptic analytic pseudolocality assume bounded operators calculus canpact characteristic function Ck(U compact complete the proof contact manifold contact transformation convolution Corollary CR manifold define denote depends holomorphically differential operators distributions elliptic entire functions estimate Euclidean exists extend fact fixed follows at once follows fran Fourier transform Further hanogeneous Heisenberg group holds homogeneous of degree integral kernel Lemma Lemna Lenma Math mod FP nilpotent groups notation Note open set parameter parametrix polydisc polynanial polynomial proof of Proposition proof of Theorem Proposition 5.5(a prove pseudoconvex pseudodifferential operators pseudolocality Q sense real analytic sane satisfies sector singular integral operators smooth space subset suffices to show sufficiently small supp Suppose Theorem 4.1 tion uniformity assertion write Z+)2n+l