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

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

2010-03-13

arxiv.org/abs/1003.2699v1

Integral Transforms and Special Functions 22 (2011), no. 7, 521-531

Mathematics

Classical Analysis and ODEs

Scientific paper

10.1080/10652469.2010.533270

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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