Álvarez López, J.A.; Calaza, M.; Franco, C.
(Symmetry, Integrability and Geometry: Methods and Applications, 2015)
Let Jσ be the Dunkl harmonic oscillator on R (σ>−1/2. For 0<u<1 and ξ>0, it is proved that, if σ>u−1/2, then the operator U=Jσ+ξ|x|⁻²u, with appropriate domain, is essentially self-adjoint in L²(R,|x|²σdx), the Schwartz ...