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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1982 Volume 117(159), Number 2, Pages 161–180 (Mi sm2197)

This article is cited in 5 papers

Asymptotics of the eigenvalues of hypoelliptic operators on a closed manifold

V. I. Bezyaev


Abstract: In this article an asymptotic formula with an estimate of the remainder term is proved for the distribution function of the eigenvalues of hypoelliptic differential operators on a compact manifold without boundary. The proof is based on a method for constructing an approximate spectral projection for the operators under consideration.
Bibliography: 16 titles.

UDC: 517.43

MSC: 35H05, 35P20

Received: 20.03.1979


 English version:
Mathematics of the USSR-Sbornik, 1983, 45:2, 169–189

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