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. 
@article{MZM_2018_104_2_a11,
     author = {A. R. Safarov},
     title = {Invariant {Estimates} of {Two-Dimensional} {Oscillatory} {Integrals}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {289--300},
     publisher = {mathdoc},
     volume = {104},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a11/}
}
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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/