Horospherical transform on Riemannian symmetric manifolds of noncompact type

DOI10.1007/S10688-008-0042-2zbMath1159.22008OpenAlexW1967639202WikidataQ115383891 ScholiaQ115383891MaRDI QIDQ1002833

Simon G. Gindikin

Publication date: 26 February 2009

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-008-0042-2

zbMATH Keywords

symmetric spacesinversion formulaPlancherel formulahorospherical transform

Mathematics Subject Classification ID

Radon transform (44A12) Semisimple Lie groups and their representations (22E46) Integral geometry (53C65) Differential geometry of symmetric spaces (53C35)

Related Items (4)

Harish-Chandra's \(c\)-function; 50 years later ⋮ New inversion formulas for the horospherical transform ⋮ Radon transforms over lower-dimensional horospheres in real hyperbolic space ⋮ Inversion formulas of integral geometry in real hyperbolic space

Cites Work

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• The Fourier transform of Harish-Chandra's \(c\)-function and inversion of the Abel transform
• Integral geometry on \(SL(2;\mathbb{R})\)
• Integral geometry on symmetric manifolds

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