SCHUR MULTIPLIERS AND SPHERICAL FUNCTIONS ON HOMOGENEOUS TREES

DOI10.1142/S0129167X10006537zbMath1272.43003arXiv0908.4424OpenAlexW2039891570MaRDI QIDQ3061176

Ryszard Szwarc, Troels Steenstrup, Uffe Haagerup

Publication date: 14 December 2010

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.4424

zbMATH Keywords

spherical functions\(p\)-adic groupsfree groupsSchur multipliershomogeneous trees

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Operator spaces and completely bounded maps (46L07) Analysis on (p)-adic Lie groups (22E35) Harmonic analysis and spherical functions (43A90) Groups acting on trees (20E08) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (12)

A Mikhlin multiplier theory for free groups and amalgamated free products of von Neumann algebras ⋮ Complete metric approximation property for \(q\)-Araki-Woods algebras ⋮ Complete boundedness of heat semigroups on the von Neumann algebra of hyperbolic groups ⋮ Characterization of positive definite, radial functions on free groups ⋮ Heat-smoothing for holomorphic subalgebras of free group von Neumann algebras ⋮ Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors ⋮ The centre of the bidual of Fourier algebras (discrete groups) ⋮ Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property ⋮ Semigroups of Herz-Schur multipliers ⋮ Radial multipliers on reduced free products of operator algebras ⋮ A Lévy-Khinchin formula for free groups ⋮ Radial Schur multipliers on some generalisations of trees

Cites Work

• Remark on Herz-Schur multipliers on free groups
• Spherical functions and harmonic analysis on free groups
• An example of a non nuclear C*-algebra, which has the metric approximation property
• An analytic family of uniformly bounded representations of free groups
• Une généralisation de la notion de transformée de Fourier-Stieltjes
• A characterization of radial Herz-Schur multipliers on free products of discrete groups
• Spherical Functions Over B-Adic Fields, I
• Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups

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