# Department of Mathematics

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

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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.
Original language English Integral Transforms and Special Functions 22 7 521-531 11 1065-2469 https://doi.org/10.1080/10652469.2010.533270 Published - 2011 Yes

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ID: 48397636