Asymptotic distribution of eigenvalues
Izvestiya. Mathematics , Tome 21 (1983) no. 1, pp. 119-160
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The method of a spectral almost-projection is employed to investigate the masymptotic behavior of the eigenvalue distribution functions of semibounded essentially selfadjoint systems of differential operators in a domain and of pseudodifferential operators on $R^n$. Use is made of the calculus of pseudodifferential operators with dual symbols constructed in the article.
Bibliography: 27 titles.
@article{IM2_1983_21_1_a4,
author = {S. Z. Levendorskii},
title = {Asymptotic distribution of eigenvalues},
journal = {Izvestiya. Mathematics },
pages = {119--160},
publisher = {mathdoc},
volume = {21},
number = {1},
year = {1983},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1983_21_1_a4/}
}
S. Z. Levendorskii. Asymptotic distribution of eigenvalues. Izvestiya. Mathematics , Tome 21 (1983) no. 1, pp. 119-160. http://geodesic.mathdoc.fr/item/IM2_1983_21_1_a4/