On the spectral synthesis problem for points in the dual of a nilpotent Lie group

DOI10.1007/BF02384304zbMath0535.43004WikidataQ115392370 ScholiaQ115392370MaRDI QIDQ791090

Jean Ludwig

Publication date: 1983

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

dual spaceJacobson topologyprimitive idealset of spectral synthesiscoadjoint actionconnected, simply connected nilpotent Lie grouphull of an idealkernels of the topologically irreducible unitary representationsKirillov's orbit theorytwosided closed ideals

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25) Spectral synthesis on groups, semigroups, etc. (43A45)

Related Items

Spectral synthesis for coadjoint orbits of nilpotent Lie groups ⋮ On primary ideals in group algebras ⋮ On primary ideals in the group algebra of a nilpotent Lie group ⋮ On Kirillov's lemma for nilpotent Lie algebras ⋮ Algebraically irreducible representations of \(L^ 1\)-algebras of exponential Lie groups ⋮ Exponential actions, orbits and their kernels ⋮ On the spectral synthesis problem for hypersurfaces of \(R^n\) ⋮ Über das Synthese-Problem für nilpotente Liesche Gruppen ⋮ On the Hilbert-Schmidt semi-norms of \(L^ 1\) of a nilpotent Lie group

Cites Work

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• Polynomial growth and ideals in group algebras
• Opérateurs de rang fini dans les représentations unitaires
• The injection and the projection theorem for spectral sets
• Ideal theory in group algebras of locally compact groups
• On a connection between nilpotent groups and oscillatory integrals associated to singularities
• A class of symmetric and a class of Wiener group algebras
• Dual topology of a nilpotent Lie group

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