Geodesic
A~complete asymptotic expansion of the spectral function of second order elliptic operators in~$\mathbf R^n$
Sbornik. Mathematics, Tome 51 (1985) no. 1, pp. 191-206

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A complete asymptotic expansion as $\lambda\to\infty$, $|x|,|y|\leqslant b\infty$ ($b$ arbitrary) is obtained for the spectral function $e_\lambda(x,y)$ of second order elliptic operators in $\mathbf R^n$ satisfying the condition of not being “trapped”, i.e. the requirement that the bicharacteristics issuing from any point extend to infinity. Bibliography: 17 titles. 
@article{SM_1985_51_1_a11,
     author = {B. R. Vainberg},
     title = {A~complete asymptotic expansion of the spectral function of second order elliptic operators in~$\mathbf R^n$},
     journal = {Sbornik. Mathematics},
     pages = {191--206},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1985_51_1_a11/}
}
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B. R. Vainberg. A~complete asymptotic expansion of the spectral function of second order elliptic operators in~$\mathbf R^n$. Sbornik. Mathematics, Tome 51 (1985) no. 1, pp. 191-206. http://geodesic.mathdoc.fr/item/SM_1985_51_1_a11/