Strichartz's Radon transforms for mutually orthogonal affine planes and fractional integrals

DOI10.1007/s13540-022-00079-3zbMath1503.44001OpenAlexW4292426529WikidataQ114016957 ScholiaQ114016957MaRDI QIDQ2110568

Yingzhan Wang

Publication date: 21 December 2022

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13540-022-00079-3

zbMATH Keywords

Radon transformsGrassmann manifoldsRiesz potentialsSemyanistyi integrals

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Radon transform (44A12) Integral operators (47G10)

Cites Work

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• Bi-invariant differential operators on the Euclidean motion group and applications to generalized Radon transforms
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• Radon transforms on Grassmann manifolds
• Pfaffian systems and Radon transforms on affine Grassmann manifolds
• New inversion formulas for Radon transforms on affine Grassmannians
• Reconstruction of functions from their integrals over \(k\)-planes
• Riesz potentials and orthogonal Radon transforms on affine Grassmannians
• Erdélyi-Kober fractional integrals and Radon transforms for mutually orthogonal affine planes
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• Integral Geometry and Radon Transforms
• An Integral Formula.
• Harmonic Analysis on Grassmannian Bundles
• Radon transforms on affine Grassmannians

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