Uniqueness of Bessel models: the archimedean case

TL;DR

This paper proves the uniqueness of Bessel models in the archimedean case for various classical groups, establishing fundamental properties of these models in representation theory.

Contribution

It establishes the first comprehensive proof of Bessel model uniqueness for general linear, unitary, and orthogonal groups in the archimedean setting.

Findings

Proved uniqueness of Bessel models for GL, U, and O groups in the archimedean case.

Extended the understanding of model uniqueness in representation theory.

Provided foundational results applicable to automorphic forms and harmonic analysis.

Abstract

In the archimedean case, we prove uniqueness of Bessel models for general linear groups, unitary groups and orthogonal groups.