We survey results concerning the L2 boundedness of oscillatory and Fourier integral operators and discuss applications. The article does not intend to give a broad overview; it mainly focusses on topics directly related to the work of the authors
The radially deformed Fourier transform, introduced in Ben Said et al. [Laguerre semigroup and Dunkl...
2000 Mathematics Subject Classification: 42B10, 43A32.In this paper we take the strip KL = [0, +∞[×[...
AbstractA characterization of weighted L2(I) spaces in terms of their images under various integral ...
We introduce a general purpose algorithm for rapidly computing certain types of oscillatory integral...
We study a family of Fourier integral operators, by allowing their symbols to satisfy a multi-parame...
AbstractIn this paper, we introduce two classes of localized integral operators on L2(Rd) with the W...
Oscillatory integral operators with 1-homogeneous phase functions satisfying a convexity condition a...
AbstractIn this paper we consider the generalized shift operator generated from the Laguerre hypergr...
AbstractIn this paper we consider oscillatory integral operators with strong singularities on R. We ...
We prove the uniform H1 boundedness of oscillatory singular integrals with degenerate phase function...
AbstractWe study Fourier multipliers which result from modulating jumps of Lévy processes. Using the...
AbstractIn this paper, we study a classes of oscillatory singular integral operators of nonconvoluti...
AbstractA class of operators is investigated which results from certain boundary and transmission pr...
AbstractWe prove sharp Lp−Lq endpoint bounds for singular fractional integral operators and related ...
AbstractWe first prove a local weighted integral inequality for conjugate A-harmonic tensors. Then, ...
The radially deformed Fourier transform, introduced in Ben Said et al. [Laguerre semigroup and Dunkl...
2000 Mathematics Subject Classification: 42B10, 43A32.In this paper we take the strip KL = [0, +∞[×[...
AbstractA characterization of weighted L2(I) spaces in terms of their images under various integral ...
We introduce a general purpose algorithm for rapidly computing certain types of oscillatory integral...
We study a family of Fourier integral operators, by allowing their symbols to satisfy a multi-parame...
AbstractIn this paper, we introduce two classes of localized integral operators on L2(Rd) with the W...
Oscillatory integral operators with 1-homogeneous phase functions satisfying a convexity condition a...
AbstractIn this paper we consider the generalized shift operator generated from the Laguerre hypergr...
AbstractIn this paper we consider oscillatory integral operators with strong singularities on R. We ...
We prove the uniform H1 boundedness of oscillatory singular integrals with degenerate phase function...
AbstractWe study Fourier multipliers which result from modulating jumps of Lévy processes. Using the...
AbstractIn this paper, we study a classes of oscillatory singular integral operators of nonconvoluti...
AbstractA class of operators is investigated which results from certain boundary and transmission pr...
AbstractWe prove sharp Lp−Lq endpoint bounds for singular fractional integral operators and related ...
AbstractWe first prove a local weighted integral inequality for conjugate A-harmonic tensors. Then, ...
The radially deformed Fourier transform, introduced in Ben Said et al. [Laguerre semigroup and Dunkl...
2000 Mathematics Subject Classification: 42B10, 43A32.In this paper we take the strip KL = [0, +∞[×[...
AbstractA characterization of weighted L2(I) spaces in terms of their images under various integral ...
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