Restriction of Spherical Representations of PGL 2 (Q p ) to a Discrete Subgroup

DOI10.2307/2045312zbMath0565.43008OpenAlexW4252054448MaRDI QIDQ3679705

Alessandro Figà-Talamanca, Massimo A. Picardello

Publication date: 1984

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2045312

zbMATH Keywords

spherical representations\(PGL_ 2({\mathbb{Q}}_ p)\)discrete, co-compact subgrouphomogeneous tree T

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Harmonic analysis and spherical functions (43A90)

Related Items

Discrete subgroups of \({\mathfrak p}\)-adic groups of rank one and Bruhat-Tits trees, Representations of currents taking values in a totally disconnected group, Stability properties of multiplicative representations of the free group, A Characterization of Spherical Series Representations of the Free Group, Représentations sphériques des groupes agissant transitivement sur un arbre semi-homogène