Riesz potentials and orthogonal Radon transforms on affine Grassmannians

DOI10.1515/fca-2021-0017zbMath1498.44003OpenAlexW3160939428MaRDI QIDQ2046065

Yingzhan Wang, Boris Rubin

Publication date: 17 August 2021

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

Full work available at URL: https://doi.org/10.1515/fca-2021-0017

zbMATH Keywords

Radon transformsGrassmann manifoldsRiesz potentialsErdélyi-Kober fractional integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Radon transform (44A12) Integral operators (47G10)

Related Items (2)

Higher-rank Radon transforms on constant curvature spaces ⋮ Strichartz's Radon transforms for mutually orthogonal affine planes and fractional integrals

Cites Work

• Radon transforms on Grassmann manifolds
• Reconstruction of functions from their integrals over \(k\)-planes
• 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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