On Radon transforms on compact Lie groups

DOI10.1090/proc12732zbMath1343.44003arXiv1410.2114OpenAlexW2059215428WikidataQ109745468 ScholiaQ109745468MaRDI QIDQ2789865

Joonas Ilmavirta

Publication date: 2 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2114

zbMATH Keywords

Radon transforminverse problemsFourier analysisPlancherel formulageodesicsrepresentation of compact groupsRay transforms

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Radon transform (44A12) Harmonic analysis on specific compact groups (43A75) Analysis on real and complex Lie groups (22E30) Geodesics in global differential geometry (53C22) Compact groups (22C05)

Related Items (5)

Injectivity of the Heisenberg X-ray transform ⋮ Efficient tensor tomography in Fan-beam coordinates ⋮ A support theorem for the X-ray transform on manifolds with plane covers ⋮ A geometric based preprocessing for weighted ray transforms with applications in SPECT ⋮ Fourier analysis of periodic Radon transforms

Cites Work

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• Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
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• Spectral rigidity and invariant distributions on Anosov surfaces
• Pseudo-Differential Operators and Symmetries
• Spherical Harmonics and Integral Geometry on Projective Spaces
• Radon Inversion--Variations on a Theme
• Some problems of integral geometry on Anosov manifolds
• On the kernel of the maximal flat Radon transform on symmetric spaces of compact type
• Boundary and lens rigidity of finite quotients

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