Microlocal Analysis of FIOs with Singularities

DOI10.1007/978-3-0348-0466-0_4zbMath1264.58013OpenAlexW173720824MaRDI QIDQ4912944

Raluca Felea

Publication date: 2 April 2013

Published in: Microlocal Methods in Mathematical Physics and Global Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0466-0_4

zbMATH Keywords

Fourier integral operatorsinverse scatteringfold and cusp singularities

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Pseudodifferential and Fourier integral operators on manifolds (58J40) Differential complexes (58J10)

Cites Work

• An FIO calculus for marine seismic imaging. II: Sobolev estimates
• Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms
• Lagrangian imbeddings of surfaces and unfolded Whitney umbrella
• Oscillatory integrals with singular symbols
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Fourier integral operators with open umbrellas and seismic inversion for cusp caustics
• Fourier integral operators. I
• Estimates for singular Radon transforms and pseudodifferential operators with singular symbols
• Lagrangian Intersection and the Cauchy Problem
• Global solution of a linearized inverse problem for the wave equation
• Scattering in the Presence of Fold Caustics
• An FIO Calculus for Marine Seismic Imaging: Folds and Cross Caps
• Composition of Fourier Integral Operators with Fold and Blowdown Singularities

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