Special Functions in Minimal Representations

TL;DR

This paper explores special functions associated with minimal representations of real reductive groups, focusing on their role in the analysis of L^2-models and revealing new mathematical structures.

Contribution

It introduces and analyzes special functions emerging from minimal representations, advancing understanding of their properties and applications in representation theory.

Findings

Identification of new special functions linked to minimal representations

Insights into the structure of L^2-models for these representations

Potential applications in harmonic analysis and mathematical physics

Abstract

Minimal representations of a real reductive group G are the `smallest' irreducible unitary representations of G. We discuss special functions that arise in the analysis of L^2-model of minimal representations.