Semiclassical Sampling and Discretization of Certain Linear Inverse Problems
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Publication:5137069
DOI10.1137/19M123868XzbMath1453.35195arXiv1811.01240OpenAlexW3103436254MaRDI QIDQ5137069
Publication date: 1 December 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.01240
Inverse problems for PDEs (35R30) Radon transform (44A12) Fourier integral operators applied to PDEs (35S30) Sampling theory in information and communication theory (94A20) Wave front sets in context of PDEs (35A18)
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Cites Work
- Thermoacoustic tomography with circular integrating detectors and variable wave speed
- The geodesic ray transform on Riemannian surfaces with conjugate points
- Necessary density conditions for sampling an interpolation of certain entire functions
- Multiscale Discrete Approximation of Fourier Integral Operators
- Computing Fourier integral operators with caustics
- Strip Integration in Radio Astronomy
- A Fast Butterfly Algorithm for the Computation of Fourier Integral Operators
- A Local Approach to Resolution Analysis of Image Reconstruction in Tomography
- Sampling-50 years after Shannon
- Resolution Analysis of Inverting the Generalized Radon Transform from Discrete Data in $\mathbb{R}^3$
- Thermoacoustic tomography with variable sound speed
- Analysis of Reconstruction from Discrete Radon Transform Data in R^3 When the Function Has Jump Discontinuities
- Mathematical Theory of Scattering Resonances
- Multiwave tomography in a closed domain: averaged sharp time reversal
- Sampling in Fan Beam Tomography
- Multiscale Discrete Approximations of Fourier Integral Operators Associated with Canonical Transformations and Caustics
- Stable signal recovery from incomplete and inaccurate measurements
- Compressed sensing
- An introduction to semiclassical and microlocal analysis
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