Geodesic
Uniform estimates for oscillatory integrals with smooth phase
Čebyševskij sbornik, Tome 25 (2024) no. 1, pp. 42-51

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We consider the problem on uniform estimates for an oscillatory integrals with the smooth phase functions having singularities $D_{\infty} $. The estimate is sharp and analogy to estimates of the work of V. N. Karpushkin.
Keywords: phase, deformation, singularity. 
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     author = {I. A. Ikromov and A. R. Safarov},
     title = {Uniform estimates for oscillatory integrals with smooth phase},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {42--51},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2024_25_1_a3/}
}
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I. A. Ikromov; A. R. Safarov. Uniform estimates for oscillatory integrals with smooth phase. Čebyševskij sbornik, Tome 25 (2024) no. 1, pp. 42-51. http://geodesic.mathdoc.fr/item/CHEB_2024_25_1_a3/