A note on singular oscillatory integrals with certain rational phases

Let $\Omega $ be homogeneous of degree zero with mean value zero, $P$ and $Q$ real polynomials on $\mathbb{R}^n$ with $Q(0)=0$ and $\Omega \in B_q^{0,0}(S^{n-1})$ for some $q>1.$ This note extends and improves a classical result of Stein and Wainger (Ann. Math. Stud. 112, pp. 307-355, (1986)) to...

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Bibliographic Details
Main Authors: Wang, Chenyan, Wu, Huoxiong
Format: Article
Language:English
Published: Académie des sciences 2023-01-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.418/