An analogue of the Cartan decomposition for \(p\)-adic symmetric spaces of split \(p\)-adic reductive groups

DOI10.2140/pjm.2011.251.1zbMath1220.22003OpenAlexW1971128163MaRDI QIDQ539015

Vincent Sécherre, Patrick Delorme

Publication date: 27 May 2011

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

Full work available at URL: https://doi.org/10.2140/pjm.2011.251.1

zbMATH Keywords

Cartan decomposition\(p\)-adic reductive group\(p\)-adic symmetric space

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35)

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\(p\)-adic norms and quadratic extensions ⋮ Distinction of the Steinberg representation III: the tamely ramified case ⋮ Asymptotics of functions on a \(p\)-adic reductive symmetric space ⋮ Effective equidistribution of \(S\)-integral points on symmetric varieties ⋮ Distinguished Representations of Reductive p-Adic Groups ⋮ Distinction of depth-zero representations ⋮ The support of closed orbit relative matrix coefficients ⋮ DECOMPOSITION THEOREMS FOR AUTOMORPHISM GROUPS OF TREES ⋮ Multiplicities and Plancherel formula for the space of nondegenerate Hermitian matrices ⋮ Constant term of functions on a \(p\)-adic reductive symmetric space ⋮ Periods of automorphic forms: the case of \((\mathrm{U}_{n+1}\times \mathrm{U}_{n},\mathrm{U}_{n})\) ⋮ Constant term of smooth $H_\psi $-spherical functions on a reductive $p$-adic group ⋮ On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad ⋮ Paley–Wiener theorems for a 𝑝-adic spherical variety

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