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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.
OriginalsprogEngelsk
TidsskriftIntegral Transforms and Special Functions
Vol/bind22
Nummer7
Sider (fra-til)521-531
Antal sider11
ISSN1065-2469
DOI
StatusUdgivet - 2011
Eksternt udgivetJa

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