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Chebyshevskii Sbornik, 2024, Volume 25, Issue 1, Pages 42–51
DOI: https://doi.org/10.22405/2226-8383-2024-25-1-42-51 (Mi cheb1401) 		 
Uniform estimates for oscillatory integrals with smooth phase

I. A. Ikromovab, A. R. Safarovba

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)
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DOI: 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_{\infty} $. The estimate is sharp and analogy to estimates of the work of V. N. Karpushkin.
Keywords: phase, deformation, singularity.
Received: 26.07.2023
Accepted: 21.03.2024
Document Type: Article
UDC: 517.518.5
Language: Russian
Citation: I. A. Ikromov, A. R. Safarov, “Uniform estimates for oscillatory integrals with smooth phase”, Chebyshevskii Sb., 25:1 (2024), 42–51
Citation in format AMSBIB
\Bibitem{IkrSaf24}
\by I.~A.~Ikromov, A.~R.~Safarov
\paper Uniform estimates for oscillatory integrals with smooth phase
\jour Chebyshevskii Sb.
\yr 2024
\vol 25
\issue 1
\pages 42--51
\mathnet{http://mi.mathnet.ru/cheb1401}
\crossref{https://doi.org/10.22405/2226-8383-2024-25-1-42-51}
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