The Plancherel measure for symmetric graphs

DOI10.1007/BF01762541zbMath0565.43005MaRDI QIDQ1058697

Jacques Faraut, Massimo A. Picardello

Publication date: 1984

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

spherical functionsPlancherel formulaC-functionradial convolution operators

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Harmonic analysis and spherical functions (43A90)

Related Items (11)

A Paley-Wiener theorem for the spectral projection of symmetric graphs ⋮ The rate of escape for anisotropic random walks in a tree ⋮ Harmonic analysis on the free product of two cyclic groups ⋮ Random walks on free products, quotients and amalgams ⋮ THE ORTHOGONAL POLYNOMIALS FOR A LINEAR SUM OF A FREE FAMILY OF PROJECTIONS ⋮ Noncommutative random variables and spectral problems in free product \(C^*\)-algebras ⋮ An inversion formula for the Radon transform on trees ⋮ Walk generating functions and spectral measures of infinite graphs ⋮ Analyse harmonique des groupes d'automorphismes d'arbres de Bruhat-Tits ⋮ Periodic Jacobi matrices on trees ⋮ Radon transforms in hyperbolic spaces and their discrete counterparts

Cites Work

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• The Plancherel measure for polygonal graphs
• Spherical functions and harmonic analysis on free groups
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• Radial functions on free groups and a decomposition of the regular representation into irreducible components.
• The radial Fourier-Stieltjes algebra of free groups
• Isotropic random walks in a tree

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