Uniform estimates for oscillatory integrals with smooth phase
https://doi.org/10.22405/2226-8383-2024-25-1-42-51
Abstract
We consider the problem on uniform estimates for an oscillatory integrals with the smooth phase functions having singularities 𝐷_∞. The estimate is sharp and analogy to estimates of the work of V.N.Karpushkin.
About the Authors
Isroil Akramovich Ikromov
V. I. Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan (Tashkent, Uzbekistan), Samarkand State University (Samarkand, Uzbekistan).
Uzbekistan
Uzbekistan
Akbar Rakhmanovich Safarov
V. I. Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan (Tashkent, Uzbekistan), Samarkand State University (Samarkand, Uzbekistan).
Uzbekistan
Uzbekistan
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Review
For citations:
Ikromov I.A., Safarov A.R. Uniform estimates for oscillatory integrals with smooth phase. Chebyshevskii Sbornik. 2024;25(1):42-51. (In Russ.) https://doi.org/10.22405/2226-8383-2024-25-1-42-51
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