Estimates for generalizated oscillatory integrals with polynomial phase

2022/08/26 by Isroil A. Ikromov, Ikromov, Isroil A., Akbar R. Safarov +1
Mathematics · #26D10 #35D10 #42B20 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2208.12468

openalex publication_date 2022/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we consider the problem on uniform estimates for generalized oscillatory integrals given by Mittag- Leffler functions with the homogeneous polynomial phase. We obtain a variant of Ricci-Stein Lemma and invariant estimates for corresponding integrals.

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