Spectral synthesis for flat orbits in the dual space of weighted group algebras of nilpotent lie groups

摘要

Let G = exp(g) be a connected, simply connected, nilpotent Lie group and let ω be a continuous symmetric weight on G with polynomial growth. We determine the structure of all the two-sided closed ideals of the weighted group algebra L~1 _ω(G) which are attached to a flat co-adjoint orbit.