A survey on oscillatory integral operators

Related Items

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

Cites Work

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
Asymptotic solutions of oscillatory initial value problems
The boundedness of the maximal Bochner-Riesz operator on $L^ 4$($R^ 2$)
Harmonic analysis on nilpotent groups and singular integrals. I: Oscillatory integrals
Hilbert integrals, singular integrals, and Radon transforms. I
Oscillatory integrals and spherical harmonics
Hilbert integrals, singular integrals, and Radon transforms. II
Uniform estimates for oscillatory integral operators
Regularity properties of Fourier integral operators
$L^ p$-estimates for oscillatory integrals in several variables
The weighted norm inequality for a class of oscillatory integral operators
Oscillatory integrals with polynomial phases
Newton polyhedra and estimation of oscillating integrals
On a class of multilinear oscillatory singular integral operators
Degenerate Fourier integral operators in the plane
On a stopping process for oscillatory integrals
Oscillatory integrals and Schrödinger maximal operators
Oscillatory integrals related to Radon-like transforms
The Newton polyhedron and oscillatory integral operators
Damped oscillatory integral operators with analytic phases
Oscillatory integrals related to Carleson's theorem
Singular Radon transforms and oscillatory integrals
Models of degenerate Fourier integral operators and Radon transforms
Oscillatory integral operators with low-order degeneracies.
Operator versions of the van der Corput lemma and Fourier integral operators
Oscillatory singular integral operators with variable Calderón-Zygmund kernels
Restriction theorems and maximal operators related to oscillatory integrals in $\mathbf R^3$
The spectral function of an elliptic operator
Fourier integral operators. I
Oscillatory integrals and multipliers on FL$^p$
Exact and asymptotic solutions of the cauchy problem
Oscillatory singular integrals and harmonic analysis on nilpotent groups
The Dependence of the Generalized Radon Transform on Defining Measures
Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
Fourier integral operators with cusp singularities
A model of degenerate and singular oscillatory integral operators
𝐿^{𝑝} estimates for oscillatory integral operators
Multidimensional van der Corput and sublevel set estimates
Optional regularity of fourier integral operators with one-sided folds
Fourier integral operators with fold singularities.
Oscillatory integral operators in scattering theory
Damping Oscillatory Integrals with Polynomial Phase and Convolution Operators with the Affine Arclength Measure on Polynomial Curves in Rⁿ
L2 estimates for oscillatory integral operators and pencils of homogeneous functions
Oscillatory integrals of symbols of pseudo-differential operators on $R^n $ and operators of Fredholm type
On local solvability of linear partial differential equations part I: Necessary conditions
On local solvability of linear partial differential equations—part II. Sufficient conditions
Oscillatory integrals and multiplier problem for the disc
Sharp $L^2$ bounds for oscillatory integral operators with $C^\infty$ phases
Multilinear level set operators, oscillatory integral operators, and Newton polyhedra
A note on the multilinear oscillatory singular integral operators
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