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

TY - JOUR

T1 - An integral formula for $L^2$-eigenfunctions of a fourth-order Bessel-type differential operator

AU - Kobayashi, Toshiyuki

AU - Möllers, Jan

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

U2 - 10.1080/10652469.2010.533270

DO - 10.1080/10652469.2010.533270

M3 - Journal article

SN - 1065-2469

VL - 22

SP - 521

EP - 531

JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

IS - 7

ER -