Estimates for oscillatory integrals with phase having $D$ type singularities

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Harmonic analysis and PDEs (42B37)

Cites Work

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Estimates for maximal functions associated with hypersurfaces in $\mathbb R^3$ and related problems of harmonic analysis
Uniform estimates for the Fourier transform of surface carried measures in $\mathbb R^{3}$ and an application to Fourier restriction
A theorem concerning uniform estimates of oscillatory integrals when the phase is a function of two variables
Newton polyhedra and estimation of oscillating integrals
Estimates for hyperbolic equations of space dimension 3
Estimates for the Fourier transform of the indicator function for nonconvex domains
Randol maximal functions and the integrability of the Fourier transform of measures
Estimates for the Fourier transform of the characteristic function of a convex set
Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)
On adapted coordinate systems
TRIGONOMETRIC INTEGRALS
Nombre de points entiers dans une famille homothétique de domaines de ${R}$
Oscillatory integrals, lagrange immersions and unfolding of singularities
Estimates for maximal functions associated to hypersurfaces in $\mathbb {R}^3$ with height $h<2$: Part I
Remarks on uniform combined estimates of oscillatory integrals with simple singularities
On the Fourier Transform of the Indicator Function of a Planar Set
Resolution of Singularities and Division of Distributions
The measure of the critical values of differentiable maps
Sharp $$L^p$$-Estimates for the Fourier Transform of Surface Measures
On the sharp estimates for convolution operators with oscillatory kernel

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Estimates for oscillatory integrals with phase having \(D\) type singularities