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Estimates for Integrals with Mittag-Leffler Functions

Isroil A. IkromovRomanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, UzbekistanAkbar R. SafarovUzbek–Finnish Pedagogical Institute, 140100, Samarkand, Uzbekistan
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In this paper, we consider the problem on uniform estimates for generalized oscillatory integrals given by Mittag-Leffler functions with the polynomial phase. We obtain a variant of the Ricci–Stein lemma and invariant estimates for corresponding integrals.

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