T. Kobayashi and J. Möllers, An integral formula for L2-eigenfunctions of a fourth order Bessel-type differential operator, Integral Transforms and Special Functions 22 (2011), no. 7, 521-531, (published online first, on 27 January 2011), DOI: 10.1080/10652469.2010.533270. arXiv:1003.2699v1 [math.CA]..

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 L2-model and the conformal model.

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