Inversion of the Radon Transform on the Free Nilpotent Lie Group of Step Two

DOI10.4153/CJM-2012-056-9zbMath1300.43008OpenAlexW2326707671WikidataQ115215058 ScholiaQ115215058MaRDI QIDQ5419192

Jianxun He, Jinsen Xiao

Publication date: 6 June 2014

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

Full work available at URL: https://doi.org/10.4153/cjm-2012-056-9

zbMATH Keywords

Radon transforminversion formulaunitary representationwavelet transformsub-Laplacianfree nilpotent Lie group

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Harmonic analysis on homogeneous spaces (43A85) Radon transform (44A12) Graded Lie (super)algebras (17B70) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

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