Multidimensional spectral asymptotics for elliptic operators in a~bounded domain
Izvestiya. Mathematics , Tome 24 (1985) no. 1, pp. 49-71
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In this paper the author obtains high-frequency asymptotics of the trace of the product of a pair of spectral projections of elliptic operators in a bounded domain and of a number of similar expressions. Applications are given to the asymptotics' of the joint spectrum of a pair of commuting operators, to reducibility, and to quasiclassical asymptotics of the spectrum of an elliptic operator.
Bibliography: 11 titles.
@article{IM2_1985_24_1_a1,
author = {S. M. Kozlov},
title = {Multidimensional spectral asymptotics for elliptic operators in a~bounded domain},
journal = {Izvestiya. Mathematics },
pages = {49--71},
publisher = {mathdoc},
volume = {24},
number = {1},
year = {1985},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1985_24_1_a1/}
}
S. M. Kozlov. Multidimensional spectral asymptotics for elliptic operators in a~bounded domain. Izvestiya. Mathematics , Tome 24 (1985) no. 1, pp. 49-71. http://geodesic.mathdoc.fr/item/IM2_1985_24_1_a1/