Curvelets and Fourier integral operators.

DOI10.1016/S1631-073X(03)00095-5zbMath1056.42025OpenAlexW2026715250MaRDI QIDQ1408096

Laurent Demanet, Emmanuel J. Candès

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00095-5

zbMATH Keywords

Fourier integral operatorscurveletstight-frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (18)

Fast wave computation via Fourier integral operators ⋮ Local algorithms in exterior tomography ⋮ Wave atoms and time upscaling of wave equations ⋮ Non-uniform recovery guarantees for binary measurements and infinite-dimensional compressed sensing ⋮ \(L^p\) and \(\mathcal{H}_{FIO}^p\) regularity for wave equations with rough coefficients ⋮ Computing Fourier integral operators with caustics ⋮ Compactly supported curvelet-type systems ⋮ Off-singularity bounds and Hardy spaces for Fourier integral operators ⋮ The curvelet representation of wave propagators is optimally sparse ⋮ Wave atoms and sparsity of oscillatory patterns ⋮ Schatten class Fourier integral operators ⋮ Wave Phenomena ⋮ Sparse Wavelet Representations of Spatially Varying Blurring Operators ⋮ Sparsity of Gabor representation of Schrödinger propagators ⋮ On the stable sampling rate for binary measurements and wavelet reconstruction ⋮ Continuous curvelet transform. I: Resolution of the wavefront set ⋮ Continuous curvelet transform. II: Discretization and frames ⋮ Efficient representation and accurate evaluation of oscillatory integrals and functions

Cites Work

• A parametrix construction for wave equations with \(C^{1,1}\) coefficients
• New multiscale transforms, minimum total variation synthesis: Applications to edge-preserving image reconstruction
• A note on spherical summation multipliers
• Fast wavelet transforms and numerical algorithms I

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