%0 Journal Article %T An integral formula for L^2-eigenfunctions of a fourth order Bessel-type differential operator %A Toshiyuki Kobayashi %A Jan M£żllers %J Mathematics %D 2010 %I arXiv %R 10.1080/10652469.2010.533270 %X 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. %U http://arxiv.org/abs/1003.2699v1