We prove sharp L estimates for oscillatory integral and Fourier integral operators for which the associated canonical relation C T R projects to T L and to T R with corank one singularities of type 2. This includes two-sided cusp singularities. Applications are given to operators with one-sided swallowtail singularities such as restricted X-ray transforms for well-curved line complexes in ve dimensions
AbstractIn this paper we prove the uniform Lp boundedness of oscillatory singular integral operators...
We prove sharp endpoint results for the Fourier restriction operator associated to nondegenerate cur...
Abstract. One of the great challenges of the spectral theory of singular integral operators is a the...
We derive certain estimates and asymptotics for oscillatory integral operators with degenerate phase...
We consider the Fourier integral operators associated to singular canonical relations, with the cusp...
We consider the Fourier integral operators associated to singular canonical relations, with the cusp...
Abstract. We study the boundedness properties, on Lebesgue and Sobolev spaces, of Fourier in-tegral ...
Sharp $L^p$ estimates are proven for oscillatory integrals with phase functions Φ(x,y), (x,y) ∈ X × ...
We survey results concerning the L2 boundedness of oscillatory and Fourier integral operators and di...
Sharp L 2 estimates for one-dimensional oscillatory integral operators with C phas
... This article does not intend to give a broad overview; it mainly focusses on a few topics direct...
Both oscillatory integral operators and level set operators appear naturally in the study of propert...
Sobolev and L p \Gamma L q estimates for degenerate Fourier integral operators with fold and cus...
We obtain new estimates for a class of oscillatory integral operators with folding canonical relatio...
AbstractWe obtain bilinear estimates for oscillatory integral operators which are variable coefficie...
AbstractIn this paper we prove the uniform Lp boundedness of oscillatory singular integral operators...
We prove sharp endpoint results for the Fourier restriction operator associated to nondegenerate cur...
Abstract. One of the great challenges of the spectral theory of singular integral operators is a the...
We derive certain estimates and asymptotics for oscillatory integral operators with degenerate phase...
We consider the Fourier integral operators associated to singular canonical relations, with the cusp...
We consider the Fourier integral operators associated to singular canonical relations, with the cusp...
Abstract. We study the boundedness properties, on Lebesgue and Sobolev spaces, of Fourier in-tegral ...
Sharp $L^p$ estimates are proven for oscillatory integrals with phase functions Φ(x,y), (x,y) ∈ X × ...
We survey results concerning the L2 boundedness of oscillatory and Fourier integral operators and di...
Sharp L 2 estimates for one-dimensional oscillatory integral operators with C phas
... This article does not intend to give a broad overview; it mainly focusses on a few topics direct...
Both oscillatory integral operators and level set operators appear naturally in the study of propert...
Sobolev and L p \Gamma L q estimates for degenerate Fourier integral operators with fold and cus...
We obtain new estimates for a class of oscillatory integral operators with folding canonical relatio...
AbstractWe obtain bilinear estimates for oscillatory integral operators which are variable coefficie...
AbstractIn this paper we prove the uniform Lp boundedness of oscillatory singular integral operators...
We prove sharp endpoint results for the Fourier restriction operator associated to nondegenerate cur...
Abstract. One of the great challenges of the spectral theory of singular integral operators is a the...