HRT Conjecture and Linear Independence of Translates on the Heisenberg Group

2018/11/26 by Currey, Brad, Oussa, Vignon
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1811.10463

Abstract

We prove that the HRT (Heil, Ramanathan, and Topiwala) conjecture is equivalent to the conjecture that finite translates of square-integrable functions on the Heisenberg group are linearly independent.

Related

• Extension and restriction principles for the HRT conjecture
• Linear independence of time-frequency translates for ultimately positive functions
• The HRT conjecture for a class of meromorphic functions
• The HRT conjecture for two classes of special configurations
• The HRT Conjecture for Symmetric Configurations and Real-Valued Functions