The range of the Helgason-Fourier transformation on homogeneous trees

DOI10.1017/S0004972700032858zbMath0929.43004OpenAlexW2114291111MaRDI QIDQ4254516

Alberto G. Setti, Michael G. Cowling

Publication date: 29 June 1999

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700032858

zbMATH Keywords

connected graphhomogeneous treeHelgason-Fourier transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Radon transform (44A12) Discrete version of topics in analysis (39A12)

Related Items (13)

Quantum ergodicity on regular graphs ⋮ A theorem of Roe and Strichartz on homogeneous trees ⋮ A Paley-Wiener theorem for the spectral projection of symmetric graphs ⋮ Boundedness and nuclearity of pseudo-differential operators on homogeneous trees ⋮ A characterization of weak \(L^p\)-eigenfunctions of the Laplacian on homogeneous trees ⋮ An analogue of the spectral projection for homogeneous trees ⋮ $L^p$-boundedness of pseudo-differential operators on homogeneous trees ⋮ Range of the horocyclic Radon transform on trees ⋮ Scattering theory for graphs isomorphic to a regular tree at infinity ⋮ On the analogue of the Fefferman-Stein theorem on graphs with the Cheeger property ⋮ Pseudo-differential calculus on homogeneous trees ⋮ Uniqueness for solutions of the Schrödinger equation on trees ⋮ Quantum ergodicity on large regular graphs

Cites Work

• The Poisson transform and representations of a free group
• An inversion formula for the Radon transform on trees
• Unnamed Item

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