Flat orbits, minimal ideals and spectral synthesis

DOI10.1007/s00605-009-0122-2zbMath1201.22006OpenAlexW2125445850MaRDI QIDQ987406

Carine Molitor-Braun, Jean Ludwig

Publication date: 13 August 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-009-0122-2

zbMATH Keywords

irreducible representationnilpotent Lie groupcoadjoint orbitspectral synthesisminimal idealflat orbitweighted group algebra

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Spectral synthesis on groups, semigroups, etc. (43A45) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items

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

Cites Work

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• Functional calculus in weighted group algebras
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• Direct Integral Decompositions and Multiplicities for Induced Representations of Nilpotent Lie Groups
• Subalgebra of $L_1(G)$ associated with Laplacian on a Lie group
• Minimal ideals of group algebras
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