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

@article{Kobayashi2011AnIF,
title={An integral formula for L 2-eigenfunctions of a fourth-order Bessel-type differential operator},
author={Toshiyuki Kobayashi and Jan M{\"o}llers},
journal={Integral Transforms and Special Functions},
year={2011},
volume={22},
pages={521 - 531}
}
• Published 13 March 2010
• Mathematics
• 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.
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