Constant term of smooth $H_\psi $-spherical functions on a reductive $p$-adic group
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Publication:5189156
DOI10.1090/S0002-9947-09-04925-3zbMath1193.22014MaRDI QIDQ5189156
Publication date: 8 March 2010
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)
Related Items (21)
Derivatives and asymptotics of Whittaker functions ⋮ Théorème de Paley—Wiener pour les fonctions de Whittaker sur un groupe réductif p-adique ⋮ Square integrability of representations on \(p\)-adic symmetric spaces ⋮ Representations of reductive groups distinguished by symmetric subgroups ⋮ On Twisted Gelfand Pairs Through Commutativity of a Hecke Algebra ⋮ Constant term of Eisenstein integrals on a reductive 𝑝-adic symmetric space ⋮ \(\mathfrak{z}\)-finite distributions on \(p\)-adic groups ⋮ Bounds on multiplicities of spherical spaces over finite fields ⋮ Generalized Whittaker functions and Jacquet modules ⋮ Neighborhoods at infinity and the Plancherel formula for a reductive \(p\)-adic symmetric space ⋮ Plancherel formula for Whittaker functions on a \(p\)-adic reductive group ⋮ Distinguished Representations of Reductive p-Adic Groups ⋮ The support of closed orbit relative matrix coefficients ⋮ Multiplicities and Plancherel formula for the space of nondegenerate Hermitian matrices ⋮ On the local Bump-Friedberg \(L\)-function. II ⋮ A local trace formula for the generalized Shalika model ⋮ Holonomicity of relative characters and applications to multiplicity bounds for spherical pairs ⋮ On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad ⋮ Homological multiplicities in representation theory of \(p\)-adic groups ⋮ Local periods for discrete series representations ⋮ Characterisation of the poles of the $\ell$-modular Asai $L$-factor
Cites Work
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- An analogue of the Cartan decomposition for \(p\)-adic symmetric spaces of split \(p\)-adic reductive groups
- Uniqueness and disjointness of Klyachko models
- Harmonic analysis on real reductive groups. I: The theory of the constant term
- \(H\)-fixed distribution vectors for generalized principal series of reductive symmetric spaces and meromorphic continuation of Eisenstein integrals
- On rationality properties of involutions of reductive groups
- Constant term of functions on a \(p\)-adic reductive symmetric space
- \(H\)-invariant distribution vectors of induced representations for a \(p\)-adic reductive symmetric space \(G/H\)
- Representations of Reductive p -Adic Groups: Localization of Hecke Algebras and Applications
- A class of parabolic $k$-subgroups associated with symmetric $k$-varieties
- Generalized Whittaker models and the Bernstein center
- LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA
- Polar Decomposition for P-adic Symmetric Spaces
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