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

Ludwig, J.; Molitor-Braun, C.; Poguntke, D.

doi:10.1090/S0002-9947-2012-05802-8

Spectral synthesis for flat orbits in the dual space of weighted group algebras of nilpotent Lie groups
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by J. Ludwig, C. Molitor-Braun and D. Poguntke PDF

Trans. Amer. Math. Soc. 365 (2013), 4433-4473 Request permission

Abstract:

Let $G=\mathrm {exp}(\mathfrak {g})$ be a connected, simply connected, nilpotent Lie group and let $\omega$ 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 $L^1_{\omega }(G)$ which are attached to a flat co-adjoint orbit.

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