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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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/
@article{ZNSL_1984_138_a0,
author = {A. S. Andreev},
title = {Spectral asymptotic for the compact pseudo-differential operators with a~{\textquotedblleft}constant{\textquotedblright} symbol},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {3--7},
year = {1984},
volume = {138},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a0/}
}
TY - JOUR
AU - A. S. Andreev
TI - Spectral asymptotic for the compact pseudo-differential operators with a “constant” symbol
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 3
EP - 7
VL - 138
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a0/
LA - ru
ID - ZNSL_1984_138_a0
ER -
%0 Journal Article
%A A. S. Andreev
%T Spectral asymptotic for the compact pseudo-differential operators with a “constant” symbol
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 3-7
%V 138
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a0/
%G ru
%F ZNSL_1984_138_a0
“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.
