A Characterization of Spherical Series Representations of the Free Group
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Publication:3983087
DOI10.2307/2048788zbMath0763.22001OpenAlexW4229860084MaRDI QIDQ3983087
Publication date: 27 June 1992
Full work available at URL: https://doi.org/10.2307/2048788
irreducible representationfree groupunitary representationsmatrix coefficientspherical series representationsfree nonabelian group
Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Local Lie groups (22E05)
Related Items
Anisotropic principal series and generators of a free group ⋮ More irreducible boundary representations of free groups
Cites Work
- The Poisson transform and representations of a free group
- On eigenspaces of the Hecke algebra with respect to a good maximal compact subgroup of a p-adic reductive group
- Spherical functions and harmonic analysis on free groups
- Classification of irreducible representations of groups of automorphisms of Bruhat-Tits trees
- An example of a non nuclear C*-algebra, which has the metric approximation property
- Representation theoretic rigidity in \(PSL(2,\mathbb{R})\)
- An analytic family of uniformly bounded representations of free groups
- A duality for symmetric spaces with applications to group representations
- Projections of uniqueness for L\(^p\)(G)
- Restriction of Spherical Representations of PGL 2 (Q p ) to a Discrete Subgroup
- Group Actions On R-Trees
- Radial functions on free groups and a decomposition of the regular representation into irreducible components.
- Harmonic analysis for anisotropic random walks on homogeneous trees
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