Equivalence of two series of spherical representations of a free group

DOI10.1007/BF01765839zbMath0801.22010OpenAlexW2074859905MaRDI QIDQ1327136

Tadeusz Pytlik, Anna Zappa, Anna Maria Mantero, Ryszard Szwarc

Publication date: 18 July 1994

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

Full work available at URL: https://doi.org/10.1007/bf01765839

zbMATH Keywords

spherical functionsfree groupspherical representationscomplementary seriesirreducible representationsspherical principal seriesuniformly bounded representations

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Free nonabelian groups (20E05) Harmonic analysis and spherical functions (43A90) Other representations of locally compact groups (22D12)

Related Items

Asymptotics of Cheeger constants and unitarisability of groups

Cites Work

• The Poisson transform and representations of a free group
• An analytic series of irreducible representations of the free group
• Spherical functions and harmonic analysis on free groups
• An analytic family of uniformly bounded representations of free groups
• Spherical functions and uniformly bounded representations of free groups
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