I. A. Ikromov, A. R. Safarov, “Uniform estimates for oscillatory integrals with smooth phase”, Chebyshevskii Sb., 2024, Volume 25, Issue 1,Pages <nobr>42

Uniform estimates for oscillatory integrals with smooth phase

I. A. Ikromov^ab, A. R. Safarov^ba

^a V. I. Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan (Tashkent, Uzbekistan)
^b Samarkand State University (Samarkand, Uzbekistan)

Abstract: 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.

UDC: 517.518.5

Received: 26.07.2023
Accepted: 21.03.2024

DOI: 10.22405/2226-8383-2024-25-1-42-51