Abstract
Necessary and sufficient conditions for the hypoellipticity of an ordinary differential operator withC ∞ coefficients in a neighborhood of a zero of finite order of the leading term are given. A sufficient condition for such an operator to be in a certain Hörmander class is also given.
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Kannai, Y. Hypoelliptic ordinary differential operators. Israel J. Math. 13, 106–134 (1972). https://doi.org/10.1007/BF02760232
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DOI: https://doi.org/10.1007/BF02760232