An integral formula for L^2-eigenfunctions of a fourth order Bessel-type differential operator

Abstract

We find an explicit integral formula for the eigenfunctions of a fourth order differential operator against the kernel involving two Bessel functions. Our formula establishes the relation between K-types in two different realizations of the minimal representation of the indefinite orthogonal group, namely the L^2-model and the conformal model.

Cited by in corpus (3)

• Minimal representations via Bessel operators
• Varna Lecture on L^2-Analysis of Minimal Representations
• Special Functions in Minimal Representations