A local converse theorem for GL(n) (archimedean case)

Abstract

In this paper we prove a local converse theorem for GL_n over the archimedean local fields, which characterizes an infinitesimal equivalence class of irreducible admissible representations of GL_n(R) (or GL_n(C)) in terms of twisted L-factors.

19 pages. Mistake found in Section 5 of previous version, which is now fixed in this version. Other typos fixed, improved exposition

References in corpus (1)

• Towards the Jacquet Conjecture on the Local Converse Problem for $p$-adic ${\mathrm{GL}}_n$

Cited by in corpus (1)

• On the local converse theorem and the descent theorem in families