RADON TRANSFORM ON H-TYPE AND SIEGEL-TYPE NILPOTENT GROUPS

DOI10.1142/S0129167X07004412zbMath1148.44001MaRDI QIDQ5443688

Genkai Zhang, Li Zhong Peng

Publication date: 22 February 2008

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

zbMATH Keywords

Radon transformHeisenberg groupLie groupsinversion formula\(H\)-type groupPlancherel theoremsingular convolution operatorsSiegel-type nilpotent groups

Mathematics Subject Classification ID

Radon transform (44A12) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Analysis on other specific Lie groups (43A80)

Related Items (4)

The \(k\)-plane transform on the Heisenberg group ⋮ The Radon transform on the Heisenberg group and the transversal Radon transform ⋮ Wavelet transform and Radon transform on the quaternion Heisenberg group ⋮ Radon transforms on Siegel-type nilpotent Lie groups

Cites Work

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• Radon transform on nilpotent Lie groups
• Estimates for singular convolution operators on the Heisenberg group
• L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
• The functional equation of zeta distributions associated with formally real Jordan algebras
• Harmonic analysis on nilpotent groups and singular integrals. III: Fractional integration along manifolds
• Radon inversion on Grassmannians via Gårding-Gindikin fractional integrals
• Local zeta functions attached to the minimal spherical series for a class of symmetric spaces
• INVERSION OF THE RADON TRANSFORM ASSOCIATED WITH THE CLASSICAL DOMAIN OF TYPE ONE

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