On the Local Converse Theorem for p-adic GLn

Abstract

In this paper, we completely prove a standard conjecture on the local converse theorem for generic representations of GLn(F), where F is a non-archimedean local field.

24 pages. To appear in Amer. J. Math

References in corpus (5)

• Towards the Jacquet Conjecture on the Local Converse Problem for $p$-adic ${\mathrm{GL}}_n$
• A local converse theorem for U(1,1)
• A local converse Theorem for U(2,2)
• A remark on the simple cuspidal representations of GL(n, F)
• Bessel functions and local converse conjecture of Jacquet

Cited by in corpus (2)

• A local converse Theorem for U(2,2)
• Bessel functions and local converse conjecture of Jacquet