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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983 Number 4, Pages 29–36 (Mi vmumm3511)

This article is cited in 1 paper

Mathematics

Complete asymptotic expansion of a spectral function of elliptic operators in $R^n$

B. R. Vainberg


Abstract: 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. å., bicharacteristics emergent from any point extend to infinity.

UDC: 517.4

Received: 10.12.1982



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