Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution of singularities

DOI10.4171/RMI/928zbMath1362.42038arXiv1311.3725OpenAlexW2963659179MaRDI QIDQ520711

Lechao Xiao

Publication date: 5 April 2017

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.3725

zbMATH Keywords

resolution of singularitiesmultilinear operatorsoscillatory integralsNewton polyhedra

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Global theory and resolution of singularities (algebro-geometric aspects) (14E15)

Related Items (5)

\(L^2\) Estimates of trilinear oscillatory integrals of convolution type on \(\mathbb{R}^2\) ⋮ A polynomial Roth theorem on the real line ⋮ Endpoint estimates for one-dimensional oscillatory integral operators ⋮ Multilinear oscillatory integral operators and geometric stability ⋮ Special cases of power decay in multilinear oscillatory integrals

Cites Work

• Unnamed Item
• On trilinear oscillatory integrals
• On multilinear oscillatory integrals, nonsingular and singular
• A direct resolution of singularities for functions of two variables with applications to analysis

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