An inversion formula of Radon transform on the product Heisenberg group

DOI10.1216/RMJ-2012-42-2-597zbMath1248.43006OpenAlexW1994378799MaRDI QIDQ422053

Jianxun He, Liqun Wen

Publication date: 16 May 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1335187168

zbMATH Keywords

Radon transformHeisenberg groupwavelet transform

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Banach spaces related to integrable group representations and their atomic decompositions. I
• L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
• Fourier analysis on the Heisenberg group. I. Schwartz space
• 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
• Admissible wavelets associated with the affine automorphism group of the Siegel upper half-plane
• Admissible wavelets associated with the Heisenberg group
• Convolution-backprojection method for the \(k\)-plane transform, and Calderón's identity for ridgelet transforms
• Admissible wavelets and inverse Radon transform associated with the affine homogeneous Siegel domains of type. II
• Bilinear virial identities and applications
• Inverse Radon transforms through inverse wavelet transforms
• INVERSION OF THE RADON TRANSFORM ASSOCIATED WITH THE CLASSICAL DOMAIN OF TYPE ONE

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