INVERSION OF THE RADON TRANSFORM ASSOCIATED WITH THE CLASSICAL DOMAIN OF TYPE ONE

DOI10.1142/S0129167X05003120zbMath1079.43012OpenAlexW2048999072MaRDI QIDQ5705131

Jianxun He, He Ping Liu

Publication date: 8 November 2005

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x05003120

zbMATH Keywords

Radon transformnilpotent groups

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Harmonic analysis on homogeneous spaces (43A85)

Related Items (9)

Inversion of the Radon transform on the product Laguerre hypergroup by using generalized wavelets ⋮ The \(k\)-plane transform on the Heisenberg group ⋮ An inversion formula of Radon transform on the product Heisenberg group ⋮ The Radon transform on the Heisenberg group and the transversal Radon transform ⋮ Radial wavelet and radon transform on the Heisenberg group ⋮ RADON TRANSFORM ON H-TYPE AND SIEGEL-TYPE NILPOTENT GROUPS ⋮ Radon transforms on Siegel-type nilpotent Lie groups ⋮ A characterization of the inverse Radon transform associated with the classical domain of type one ⋮ Unnamed Item

Cites Work

• L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
• Harmonic analysis of a nilpotent group and function theory on Siegel domains of type II
• On the regular representation of a nonunimodular locally compact group
• The Calderón reproducing formula, windowed \(X\)-ray transforms, and Radon transforms in \(L^p\)-spaces
• Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets
• Transforms associated to square integrable group representations. I. General results
• Painless nonorthogonal expansions
• Inverse Radon transforms through inverse wavelet transforms
• Wavelets from Square-Integrable Representations
• Unnamed Item

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