Geodesic
Invariant Estimates of Two-Dimensional Oscillatory Integrals
Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 289-300.

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Invariant estimates of oscillatory integrals with polynomial phase are studied. The main result is a theorem on uniform invariant estimates of trigonometric integrals. The obtained estimates improve Popov's well-known results on invariant estimates of trigonometric integrals in the case where the phase function is a third-degree polynomial.
Keywords: oscillatory integral, phase function
Mots-clés : amplitude, discriminant. 
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A. R. Safarov. Invariant Estimates of Two-Dimensional Oscillatory Integrals. Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 289-300. http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a11/

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