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Estimates for Oscillatory Integrals with Discontinuous Amplitude

  • Isroil A. Ikromov,
  • Akbar R. Safarov,
  • Dilshodbek G. Khudoyberdiev

摘要

In this paper, we consider oscillatory integrals with analytic phase function and amplitude having a set of discontinuity points. We obtain estimates for such integrals that are sharp up to a positive number \(\varepsilon >0\) .