Geodesic
Spectral asymptotic for the compact pseudo-differential operators with a~``constant'' symbol
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 16, Tome 138 (1984), pp. 3-7

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“Matrix” pseudo-differential operators on Euclidian set is considered. Operator symbol is the function on argument "$\xi$". This function belongs to Hormander class is supposed. For these operators formula of spectral asymptotic with a remainder estimate is obtained. 
@article{ZNSL_1984_138_a0,
     author = {A. S. Andreev},
     title = {Spectral asymptotic for the compact pseudo-differential operators with a~``constant'' symbol},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {3--7},
     publisher = {mathdoc},
     volume = {138},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a0/}
}
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A. S. Andreev. Spectral asymptotic for the compact pseudo-differential operators with a~``constant'' symbol. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 16, Tome 138 (1984), pp. 3-7. http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a0/