An integral formula for L^2-eigenfunctions of a fourth order Bessel-type differential operator
Classical Analysis and ODEs
2014-03-19 v1 Representation Theory
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.
Cite
@article{arxiv.1003.2699,
title = {An integral formula for L^2-eigenfunctions of a fourth order Bessel-type differential operator},
author = {Toshiyuki Kobayashi and Jan Möllers},
journal= {arXiv preprint arXiv:1003.2699},
year = {2014}
}