Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 29-36
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B. R. Vainberg. Complete asymptotic expansion of a spectral function of elliptic operators in $R^n$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 29-36. http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a5/
@article{VMUMM_1983_4_a5,
author = {B. R. Vainberg},
title = {Complete asymptotic expansion of a spectral function of elliptic operators in $R^n$},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {29--36},
year = {1983},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a5/}
}
TY - JOUR
AU - B. R. Vainberg
TI - Complete asymptotic expansion of a spectral function of elliptic operators in $R^n$
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1983
SP - 29
EP - 36
IS - 4
UR - http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a5/
LA - ru
ID - VMUMM_1983_4_a5
ER -
%0 Journal Article
%A B. R. Vainberg
%T Complete asymptotic expansion of a spectral function of elliptic operators in $R^n$
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 29-36
%N 4
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a5/
%G ru
%F VMUMM_1983_4_a5
The paper gives a complete asymptotic expansion as $\lambda\to\infty$, $|x|,|y|\le b<\infty$ of a spectral function $e_\lambda(x,y)$ of elliptic operators of the second order in $R^n$ for which the “non-trapping mode” condition is fulfilled, i. е., bicharacteristics emergent from any point extend to infinity.
