Beta functions of Bruhat-Tits buildings and deformation of $ l^2$ on the set of $ p$-adic lattices

DOI10.1070/SM2003v194n12ABEH000786zbMath1060.22008OpenAlexW2162319188MaRDI QIDQ4658253

Yuriĭ A. Neretin

Publication date: 16 March 2005

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2003v194n12abeh000786

zbMATH Keywords

Plancherel formulaBruhat-Tits buildingBerezin kernel

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Groups with a (BN)-pair; buildings (20E42)

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Infinite 𝑝-adic random matrices and ergodic decomposition of 𝑝-adic Hua measures ⋮ Hua measures on the space of $ p$-adic matrices and inverse limits of Grassmannians

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