Harmonic analysis on the free product of two cyclic groups

DOI10.1016/0022-1236(86)90007-8zbMath0619.43003OpenAlexW2028082635MaRDI QIDQ1089564

Paolo M. Soardi, Donald I. Cartwright

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90007-8

zbMATH Keywords

orthogonal polynomialsPlancherel measurespherical functionsfree productsspectrum of convolution operatorradial functionsfinitely generated free groupscommutative \(C^ *\)-algebrasemi-radial functions

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Harmonic analysis and spherical functions (43A90) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (5)

Random walks on free products, quotients and amalgams ⋮ A Green's function for non-homogeneous random walks on free products ⋮ THE ORTHOGONAL POLYNOMIALS FOR A LINEAR SUM OF A FREE FAMILY OF PROJECTIONS ⋮ Random walks on free products ⋮ On the spectrum of the sum of generators for a finitely generated group

Cites Work

• Spherical functions and local limit theorems on free groups
• Random walks
• The Plancherel measure for polygonal graphs
• Orthogonal polynomials with a constant recursion formula and an application to harmonic analysis
• The Plancherel measure for symmetric graphs
• Simple random walks on trees
• Maximal abelian subalgebras of function algebras associated with free products
• Spherical functions and harmonic analysis on free groups
• Random walks and periodic continued fractions
• Radial functions on free groups and a decomposition of the regular representation into irreducible components.
• Isotropic random walks in a tree
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