Gelfand pairs, \(K\)-spherical means and injectivity on the Heisenberg group

DOI10.1007/BF02791136zbMath0936.43007WikidataQ122648495 ScholiaQ122648495MaRDI QIDQ1808880

P. K. Ratnakumar, G. Sajith

Publication date: 18 May 2000

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Heisenberg groupGelfand pairsspherical mean

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80) Harmonic analysis and spherical functions (43A90)

Related Items (2)

Coxeter system of lines and planes are sets of injectivity for the twisted spherical means ⋮ Hecke-Bochner identity and eigenfunctions associated to Gelfand pairs on the Heisenberg group

Cites Work

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• L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
• Hilbert transforms along curves. I: Nilpotent groups
• Deux cours d'analyse harmonique. École d'Été d'Analyse Harmonique de Tunis, 1984
• A Tauberian theorem and tangential convergence for bounded harmonic functions on balls in \(\mathbb{C}^n\)
• Bounded \(K\)-spherical functions on Heisenberg groups
• Injectivity of the Pompeiu transform in the Heisenberg group
• Spherical means and CR functions on the Heisenberg group
• On group algebras of nilpotent Lie groups

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