Estimates for generalizated oscillatory integrals with polynomial phase

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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Bibliographic Details
Published in:arXiv.org 2022-08
Main Authors: Ikromov, Isroil A, Safarov, Akbar R
Format: Article
Language:English
Subjects:
Estimates
Functions (mathematics)
Integrals
Mathematical analysis
Polynomials
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422