An inversion formula for the Radon transform on trees

DOI10.1007/BF01214899zbMath0651.43003MaRDI QIDQ1106421

W. Betori, Jacques Faraut, Mauro Pagliacci

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174056

zbMATH Keywords

inversion formulaPlancherel formulaSchwartz spacesspherical Fourier transformPaley Wiener type theoremRadon transform on trees

Mathematics Subject Classification ID

Trees (05C05) Other transforms and operators of Fourier type (43A32)

Related Items

A theorem of Roe and Strichartz on homogeneous trees, The range of the Helgason-Fourier transformation on homogeneous trees, Extreme points of the Bloch space of a homogeneous tree, The 2-circle and 2-disk problems on trees, Amenability, unimodularity, and the spectral radius of random walks on infinite graphs, Radon transforms in hyperbolic spaces and their discrete counterparts, Range of the horocyclic Radon transform on trees, Unitarization of the horocyclic Radon transform on homogeneous trees, The horocyclic Radon transform on non-homogeneous trees, Boundaries of random walks on graphs and groups with infinitely many ends, Characterization of the range of the Radon transform on homogeneous trees, The Martin boundary for general isotropic random walks in a tree

Cites Work

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• The Plancherel measure for symmetric graphs
• The Radon transform
• Spherical functions and harmonic analysis on free groups
• A duality for symmetric spaces with applications to group representations