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Uniform estimates for oscillatory integrals with smooth phase

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Publication:6570120
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DOI10.22405/2226-8383-2024-25-1-42-51zbMATH Open1543.42021MaRDI QIDQ6570120

Isroil Akramovich Ikromov, Akbar Rakhmanovich Safarov

Publication date: 10 July 2024

Published in: Chebyshevskiĭ Sbornik (Search for Journal in Brave)




zbMATH Keywords

singularitydeformationhomogeneous polynomial phases


Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)


Cites Work

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  • Newton polyhedra and estimation of oscillating integrals
  • Invariant estimates of two-dimensional oscillatory integrals
  • Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4
  • On a problem of restriction of Fourier transform on a hypersurface
  • On the $L^p$-bound for trigonometric integrals
  • Zur Methode der stationären Phase I.
  • On adapted coordinate systems
  • Multidimensional van der Corput and sublevel set estimates
  • Oscillatory integrals, lagrange immersions and unfolding of singularities
  • On Invariant Estimates for Oscillatory Integrals with Polynomial Phase







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