Decay rates of oscillatory integral operators in “1 + 2” dimensions

DOI10.1515/FORUM.2006.024zbMath1106.35159MaRDI QIDQ5476397

Wan Tang

Publication date: 14 July 2006

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

Fourier integral operatorsoscillatory integralsphase-functions

Mathematics Subject Classification ID

Integral operators (47G10) Fourier integral operators applied to PDEs (35S30)

Related Items

Oscillatory integral operators with homogeneous polynomial phases in several variables ⋮ Sharp \(L^p\) decay of oscillatory integral operators with certain homogeneous polynomial phases in several variables ⋮ Some new decay estimates for \((2+1)\)-dimensional degenerate oscillatory integral operators ⋮ A sharp decay estimate for degenerate oscillatory integral operators using broad-narrow method ⋮ Sharp Bounds for Oscillatory Integral Operators with Homogeneous Polynomial Phases ⋮ Damping estimates for oscillatory integral operators with real-analytic phases and its applications

Cites Work

• Unnamed Item
• Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle
• Oscillatory integrals with polynomial phases
• Newton polyhedra and estimation of oscillating integrals
• Degenerate Fourier integral operators in the plane
• The Newton polyhedron and oscillatory integral operators
• Damped oscillatory integral operators with analytic phases
• Models of degenerate Fourier integral operators and Radon transforms
• Oscillatory integral operators with low-order degeneracies.
• Fourier integral operators. I
• Oscillatory integrals and multipliers on FL\(^p\)
• Intertwining operators for semisimple groups
• Fourier integral operators with cusp singularities
• Fourier integral operators with fold singularities.
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• Multilinear level set operators, oscillatory integral operators, and Newton polyhedra