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On elliptic pseudodifferential operators on a closed curve. (Russian) Zbl 0573.35071

The author studies the spectral properties of a classical elliptic pseudo-differential operator A on the circle \(S^ 1\). He obtains the asymptotic expansion for the eigenvalues of A by some conditions on its principal and subprincipal symbols.
Reviewer: Yu.V.Egorov

MSC:

35P20 Asymptotic distributions of eigenvalues in context of PDEs
35S05 Pseudodifferential operators as generalizations of partial differential operators
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