Geodesic
The multidimensional stationary phase method. The second term of the asymptotic expansions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 5, pp. 782-786 Cet article a éte moissonné depuis la source Math-Net.Ru

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The second term in the asymptotic expansion of the contribution from a nondegenerate stationary point is determined for the multidimensional case. 
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     title = {The multidimensional stationary phase method. {The} second term of the asymptotic expansions},
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M. V. Fedoryuk. The multidimensional stationary phase method. The second term of the asymptotic expansions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 5, pp. 782-786. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_5_a13/

[1] Fedoryuk M. V., Asimptotika. Integraly i ryady, Nauka, M., 1987 | MR

[2] Gelfand I. M., Shilov G. E., Obobschennye funktsii i deistviya nad nimi, Fizmatgiz, M., 1958