Improved Hörmander's theorem and new methods for oscillatory integral operators

DOI10.1007/S10114-009-7515-YzbMath1206.42013OpenAlexW2133293144MaRDI QIDQ2655590

Sheng-Ming Ma

Publication date: 25 January 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-7515-y

zbMATH Keywords

oscillatory integral operatorsdecay rateFourier integral operatorsresolution of singularitydegenerate phase

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral operators (47G10) Fourier integral operators applied to PDEs (35S30)

Cites Work

• Unnamed Item
• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
• \(L^ p\)-estimates for oscillatory integrals in several variables
• Newton polyhedra and estimation of oscillating integrals
• Oscillatory integrals and multipliers on FL\(^p\)
• A survey on oscillatory integral operators
• Oscillatory integrals and multiplier problem for the disc

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