## T. Kobayashi and J. Möllers, *An integral formula for
**L*^{2}-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 *L*^{2}-model and the conformal model.

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© Toshiyuki Kobayashi