Summary
We compute explicitely the Plancherel measure for groups acting isometrically and simply transitively on polygonal graphs.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
W.Betori - M.Pagliacci,Harmonic analysis for groups acting on tree, preprints 1982.
P. Cartier,Harmonic analysis on trees, Proc. Symp. Pure Math. Amer. Math. Soc.,26 (1972), pp. 419–424.
J. Cohen,Operators norms on free groups, Boll. Un. Mat. Ital., (VI)1-B (1982), pp. 1055–1065.
A. Figà-Talamanca -M. Picardello,Spherical functions and harmonic analysis on free groups, J. Funct. Analysis,47 (1982), pp. 281–304.
A.Figà-Talamanca - M.Picardello,Harmonic analysis on free groups, to appear in Lecture Notes in Pure and Applied Mathematics, Marcel Dekker.
A.Iozzi - M.Picardello,Graphs and convolution operators, preprint 1982.
A.Iozzi - M.Picardello,Spherical functions on graphs, preprint 1982.
T. Pytlik,Radial functions on free groups and a decomposition of the regular representation into irreducible components, J. Reine u. Angew. Math.,326 (1981), pp. 124–135.
S. Sawyer,Isotropic random walks in a tree, Zeitsch. für Wahr.,12 (1978), pp. 279–292.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kuhn, G., Soardi, P.M. The Plancherel measure for polygonal graphs. Annali di Matematica pura ed applicata 134, 393–401 (1983). https://doi.org/10.1007/BF01773513
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01773513