## Estimate of the residual part in the spectral asymptotic form of pseudodifferential operators of negative order.(Russian)Zbl 0606.35084

Matrix pseudodifferential operators are considered in a bounded Euclidean set. The symbol of the operator is assumed to be a smooth function of the homogeneous matrix-function depending on only the dual argument. No assumptions of ellipticity are made. For these operators an estimate of the residual term of the asymptotic form of positive and negative spectra is obtained.
Reviewer: O.Dumbrajs

### MSC:

 35S05 Pseudodifferential operators as generalizations of partial differential operators 35P05 General topics in linear spectral theory for PDEs