Radon transforms and finite type conditions
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Publication:4211063
DOI10.1090/S0894-0347-98-00280-XzbMath0907.35147MaRDI QIDQ4211063
Publication date: 10 September 1998
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Radon transform (44A12) Integral operators (47G10) CR structures, CR operators, and generalizations (32V05) Fourier integral operators applied to PDEs (35S30)
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Cites Work
- Unnamed Item
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- Unnamed Item
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- Averages over hypersurfaces. Smoothness of generalized Radon transforms
- Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms
- Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle
- Hilbert integrals, singular integrals, and Radon transforms. II
- Hilbert transforms along curves. II: A flat case
- Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms. II
- Hypoelliptic differential operators and nilpotent groups
- Degenerate Fourier integral operators in the plane
- \(L^ p\) regularity for the wave equation with strictly convex obstacles
- Models of degenerate Fourier integral operators and Radon transforms
- Singular and maximal Radon transforms: Analysis and geometry
- Hypoelliptic second order differential equations
- Fourier integral operators. I
- Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
- Fourier integral operators with fold singularities.
- Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121)
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