Work

Bessel duality of Gabor systems: A von Neumann algebraic perspective

Year: 2025

Type: article

Abstract: Bessel duality of regular Gabor systems states that a Gabor system over a lattice is a Bessel sequence if and only if the corresponding Gabor system over the adjoint lattice is a Bessel sequence. We show that this fundamental result of time-frequency analysis can be deduced from a theorem in the theory of bimodules over von Neumann algebras, namely that under certain conditions, their left and right bounded vectors coincide.

Source: Expositiones Mathematicae

DOI: 10.1016/j.exmath.2025.125741

Authors: Ulrik Enstad, Franz Luef

Institutions: University of Oslo, Norwegian University of Science and Technology

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,500

Funders: Norges Teknisk-Naturvitenskapelige Universitet, Norges Forskningsråd