On representations distinguished by unitary groups (Q691689)

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scientific article; zbMATH DE number 6112182

Language	Label	Description	Also known as
English	On representations distinguished by unitary groups	scientific article; zbMATH DE number 6112182

Statements

scholarly article

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On representations distinguished by unitary groups (English)

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Publications Mathématiques

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publication date

3 December 2012

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full work available at URL

http://www.numdam.org/item?id=PMIHES_2012__115__185_0/

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MaRDI profile type

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Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)

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Smooth transfer of Kloosterman integrals (the Archimedean case)

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Schwartz Functions on Nash Manifolds

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Generalized Harish-Chandra descent, Gelfand pairs, and an Archimedean analog of Jacquet-Rallis's theorem. With an appendix by the authors and Eitan Sayag.

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Multiplicity one theorem for \((\text{GL}_{n+1}({\mathbb{R}}), \text{GL}_{n} ({ \mathbb{R}}))\)

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The de-Rham theorem and Shapiro lemma for Schwartz functions on Nash manifolds

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(GL<sub><i>n</i>+1</sub>(<i>F</i>), GL<sub><i>n</i></sub>(<i>F</i>)) is a Gelfand pair for any local field <i>F</i>

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A trace formula for reductive groups. I: Terms associated to classes in G(Q)

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A measure on the Unipotent Variety

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On a Family of Distributions obtained from Orbits

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The unitary dual for complex classical Lie groups

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A proof of Kirillov's conjecture

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\(H\)-fixed distribution vectors for generalized principal series of reductive symmetric spaces and meromorphic continuation of Eisenstein integrals

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\(H\)-invariant distribution vectors of induced representations for a \(p\)-adic reductive symmetric space \(G/H\)

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Smooth Fréchet globalizations of Harish-Chandra modules

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The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)

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Induced representations of reductive ${\germ p}$-adic groups. I

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Meromorphic basis of \(H\)-invariant distribution vectors for generalized principal series of reductive symmetric spaces: Functional equation

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The fundamental lemma of Jacquet and Ye in positive characteristic

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Unitary periods, Hermitian forms and points on flag varieties

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On irreducibility of standard modules for generic representations

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Automorphic induction for \(\text{GL}(n,\mathbb C)\)

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Automorphic induction for \(GL(n)\) (over local nonarchimedean fields)

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Spherical functions and local densities on Hermitian forms

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Supercuspidal representations of \(\text{GL}(n)\) distinguished by a unitary subgroup

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Globalization of Distinguished Supercuspidal Representations of GL(<i>n</i>)

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On rationality properties of involutions of reductive groups

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Trilinear forms and the central values of triple product \(L\)-functions

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On the periods of automorphic forms on special orthogonal groups and the Gross-Prasad conjecture

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Fonctions de Whittaker associées aux groupes de Chevalley

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Relative Kloosterman Integrals for GL(3): II

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The continuous spectrum of the relative trace formula for \(GL(3)\) over a quadratic extension

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A theorem of density for Kloosterman integrals

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Factorization of period integrals.

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Smooth transfer of Kloosterman integrals

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Transfer factors for Kloosterman integrals

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Smooth transfer of Kloosterman integrals

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Kloosterman identities over a quadratic extension

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Kloosterman identities over a quadratic extension II

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Kloosterman integrals for \(\mathrm{GL}(2, \mathbb R)\)

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Distinction by the quasi-split unitary group

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Periods of automorphic forms

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Rankin-Selberg Convolutions

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On Euler Products and the Classification of Automorphic Forms II

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On Euler Products and the Classification of Automorphic Representations I

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The Whittaker models of induced representations

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Relative Kloosterman integrals for GL(3)

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Distinguished representations and quadratic base change for 𝐺𝐿(3)

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Germs of Kloosterman Integrals for $GL(3)$

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Constant term of functions on a \(p\)-adic reductive symmetric space

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ON THE FINE SPECTRAL EXPANSION OF JACQUET’S RELATIVE TRACE FORMULA

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<i>L</i>-Indistinguishability For <i>SL</i> (2)

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On the asymptotics of Whittaker functions

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Spectral asymptotics for arithmetic quotients of \(\text{SL}(n,{\mathbb R})/\text{SO}(n)\)

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Compact unitary periods

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Stabilization of periods of Eisenstein series and Bessel distributions on \(GL(3)\) relative to \(U(3)\)

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Periods of Eisenstein series

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Periods of Eisenstein series: the Galois case

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Le spectre résiduel de ${\rm GL}(n)$

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Faisceaux pervers, homomorphisme de changement de base et lemme fondamental de jacquet et ye

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Stable relative Bessel distributions on GL(n) over a quadratic extension

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On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups

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On a conjecture of Jacquet about distinguished representations of \(\text{GL}(n)\)

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Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)

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Local coefficients as Artin factors for real groups

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A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups

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Two remarks on irreducible characters of finite general linear groups

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Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)

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Quelques propriétés des représentations sphériques pour les espaces symétriques réductifs. (Some properties of spherical representations of reductive symmetric spaces)

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Kloosterman integrals and base change for GL (2).

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An integral transform and its applications

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The lifting of Kloosterman sums

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Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10240-012-0040-Z

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Sitelinks

Mathematics(1 entry)

mardi Publication:691689

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