Geodesic
Complete asymptotic expansion of a spectral function of elliptic operators in $R^n$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1983), pp. 29-36

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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. 
@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},
     publisher = {mathdoc},
     number = {4},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_4_a5/}
}
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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/