An integral formula forL2-eigenfunctions of a fourth-order Bessel-type differential operator

Toshiyuki Kobayashi, Jan Möllers
2011 Integral transforms and special functions  
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.
doi:10.1080/10652469.2010.533270 fatcat:4h354wxmdvgobec66gpbziq36y