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Estimates for Oscillatory Integrals with Discontinuous Amplitude

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Extended Abstracts 2021/2022 (APDEGS 2021)

Part of the book series: Trends in Mathematics ((RPGAPC,volume 2))

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Abstract

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 \(\varepsilon >0\).

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References

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Author information

Authors and Affiliations

  1. Uzbekistan Academy of Sciences, V.I.Romanovskiy Institute of Mathematics, Tashkent, Uzbekistan

    Isroil A. Ikromov

  2. Department of Mathematics, Samarkand State University, Samarkand, Uzbekistan

    Isroil A. Ikromov

  3. Uzbek-Finnish Pedagogical Institute, Samarkand, Uzbekistan

    Akbar R. Safarov

  4. Department of Mathematics, Samarkand State University, Samarkand, Uzbekistan

    Akbar R. Safarov

  5. Department of Mathematics and Statistics, Xi’an Jioatong University, Xi’an Shaanxi, P. R. China

    Dilshodbek G. Khudoyberdiev

  6. Department of Mathematics, Uzbek-Finnish Pedagogical Institute, Spitamen Shokh Samarkand, Uzbekistan

    Dilshodbek G. Khudoyberdiev

Authors
  1. Isroil A. Ikromov
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  2. Akbar R. Safarov
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  3. Dilshodbek G. Khudoyberdiev
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Corresponding author

Correspondence to Akbar R. Safarov .

Editor information

Editors and Affiliations

  1. Ghent Analysis and PDE Center, Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium

    Michael Ruzhansky

  2. Ghent Analysis and PDE Center, Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium

    Karel Van Bockstal

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Ikromov, I.A., Safarov, A.R., Khudoyberdiev, D.G. (2024). Estimates for Oscillatory Integrals with Discontinuous Amplitude. In: Ruzhansky, M., Van Bockstal, K. (eds) Extended Abstracts 2021/2022. APDEGS 2021. Trends in Mathematics(), vol 2. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-42539-4_14

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