Anisotropic principal series and generators of a free group

DOI10.1017/S0004972700016282zbMath0840.43011OpenAlexW1988881230MaRDI QIDQ4299263

Carlo Pensavalle

Publication date: 1 July 1996

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

Full work available at URL: https://doi.org/10.1017/s0004972700016282

zbMATH Keywords

free groupharmonic analysisunitary representationshomogeneous trees\(\mathbb{R}\)-treesanisotropic random walksCayley-graphs

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Free nonabelian groups (20E05) Positive definite functions on groups, semigroups, etc. (43A35) Other representations of locally compact groups (22D12)

Cites Work

• The Poisson transform and representations of a free group
• Local limits and harmonic functions for nonisotropic random walks on free groups
• Context-free languages and random walks on groups
• Symmetric Random Walks on Groups
• Group Actions On R-Trees
• Three rigidity criteria for 𝑃𝑆𝐿(2,𝐑)
• A Characterization of Spherical Series Representations of the Free Group

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