Abstract
General symmetric hypoelliptic systems of differential operators in with discrete spectrum are considered. Two-sided estimates, as , are found for , the number of eigenvalues in the interval . Under a regularity assumption on the behavior of the spectrum of the Weyl matrix symbol of the system, these estimates reduce to the asymptotics of with an estimate of the remainder term. In part the results are also new for the scalar case. Bibliography: 9 titles.
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