Within the Langlands program, endoscopy is a fundamental process for relating
automorphic representations of one group with those of another. In this book, Arthur …

In a paper by Badulescu [Global Jacquet–Langlands correspondence, multiplicity one and
classification of automorphic representations, Invent. Math. 172 (2008), 383–438], results on …

The principal ideas of harmonic analysis on a locally compact group G which is not
necessarily compact or commutative were developed in the 1940s and early 1950s. In this …

JMG Fell introduced in [1 O] the notion of the non-unitary dual space of a locally compact
group. By his definition, it is a topological space. The main part of that paper deals with the …

Founding harmonic analysis on classical simple complex groups, IM Gelfand and MA
Naimark in their classical book [GN] posed three basic questions: unitary duals, characters …

This paper is our attempt to understand the work of Barbasch and Moy [BbMo2] on
unramified unitary dual for split classical p–adic groups from a different point of view. The …

On unitarizability and Arthur packets | manuscripta mathematica Skip to main content
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Let A be a finite dimensional central division algebra over a local non-archimedean field F.
Fix any parabolic subgroup P of GL (n, A) and a Levi factor M of P. Let π be an irreducible …

THE BURGER-SARNAK METHOD AND OPERATIONS ON THE UNITARY DUAL OF GL(n) 1.
Introduction In a recent paper [4], Clozel observed that Page 1 REPRESENTATION THEORY …

Let F be a local nonarchimedean field of characteristic 0, and let A be an F-central division
algebra of dimension d A over F. In this paper, we first develop some parts of the …