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Dominant term in the asymptotics of oscillatory integrals with a phase of the series $$T$$. (English. Russian original) Zbl 0944.41500
Math. Notes 56, No. 6, 1304-1305 (1994); translation from Mat. Zametki 56, No. 6, 131-133 (1994).
##### MSC:
 41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) 58J37 Perturbations of PDEs on manifolds; asymptotics
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##### References:
 [1] V. I. Arnol’d, A. N. Varchenko, and S. M. Gusein-Zade, Properties of Differentiable Mappings [in Russian], Vol. 2, Nauka, Moscow (1984). [2] V. P. Maslov and M. V. Fedoryuk, ”On the second term of logarithmic asymptotics of Laplace integrals”, Mat. Zametki,30, No. 5, 763–768 (1981). · Zbl 0489.60031 [3] A. M. Chebotarev, ”On the formula for the second term of logarithmic asymptotics of Laplace integrals”, Mat. Zametki.34, No. 2, 273–380 (1983). [4] V. N. Karpushkin, Trudy Seminara im. I. G. Petrovskogo, Izdatel’stvo MGU, No. 9, 1–39 (1983).
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