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Concatenations applied to analytic hypoellipticity of operators with double characteristics

1984
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Transactions of the American Mathematical Society
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We use the method of concatenations to get a sufficient condition for a class of analytic pseudodifferential operators with double characteristics to be analytic hypoelliptic Introduction. The present paper is concerned with analytic hypoellipticity for operators on an /V-dimensional real-analytic manifold £2, of the form where Id is the identity d X d matrix, p(x, £) a scalar analytic symbol, homogeneous of degree m in £, and Q(x, D) a d X d matrix of classical analytic pseudodifferential

doi:10.1090/s0002-9947-1984-0737898-9
fatcat:wbktotxbvbbvfiko3br7qjroz4