Support Theorems for Radon Transforms on Real Analytic Line Complexes in Three-Space

DOI10.2307/2154410zbMath0767.44001OpenAlexW4237860526MaRDI QIDQ4038503

Jan Boman, Eric Todd Quinto

Publication date: 16 May 1993

Full work available at URL: https://doi.org/10.2307/2154410

zbMATH Keywords

Radon transformsanalytic wave front setanalytic microlocal analysissupport theoremsadmissible line complex

Mathematics Subject Classification ID

Radon transform (44A12) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (18)

Radon transforms and Gegenbauer-Chebyshev integrals. I ⋮ The inverse problem for the Dirichlet-to-Neumann map on Lorentzian manifolds ⋮ Microlocal Analysis of a Restricted Ray Transform on Symmetric $m$-Tensor Fields in $\mathbb{R}^{n}$ ⋮ Research biography of a distinguished expert in the field of inverse problems: Professor Eric Todd Quinto ⋮ Support theorem for the light-ray transform of vector fields on Minkowski spaces ⋮ Support theorems for the light ray transform on analytic Lorentzian manifolds ⋮ Inverse radiative transport with local data ⋮ X-ray transforms in pseudo-Riemannian geometry ⋮ Full reconstruction of a vector field from restricted Doppler and first integral moment transforms in \(\mathbb{R}^n\) ⋮ Microlocal inversion of a 3-dimensional restricted transverse ray transform on symmetric tensor fields ⋮ Support theorems and an injectivity result for integral moments of a symmetric \(m\)-tensor field ⋮ Injectivity and stability for a generic class of generalized Radon transforms ⋮ Mathematics of Electron Tomography ⋮ Inversion of the x-ray transform for complexes of lines in ${{\mathbb{R}}}^{n}$ ⋮ Injectivity and Range Description of Integral Moment Transforms Over $m$-Tensor Fields in $\mathbb{R}^n$ ⋮ A support theorem for the geodesic ray transform on functions ⋮ Morera theorems for complex manifolds ⋮ Pompeiu transforms on geodesic spheres in real analytic manifolds

Cites Work

• Support theorems for real-analytic Radon transforms
• Nonlocal inversion formulas for the X-ray transform
• A support theorem for the \(X\)-ray transform
• The X-ray transform
• Fourier integral operators. I
• Cone Beam Reconstruction with Sources on a Curve
• An Elementary Proof of Local Invertibility for Generalized and Attenuated Radon Transforms
• The Dependence of the Generalized Radon Transform on Defining Measures
• Real Analytic Radon Transforms on Rank One Symmetric Spaces
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