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On primary ideals in the group algebra of a nilpotent Lie group. (English) Zbl 0489.22009

MSC:
22E27 Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.)
22D15 Group algebras of locally compact groups
43A46 Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)
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References:
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[11] Dixmier, J., Malliavin, P.: Factorisation de fonctions et de vecteurs indéfiniment différentiables. Bull. Sci. math., II Sér.102, 305-330 (1978) · Zbl 0392.43013
[12] Reiter, H.: Classical harmonic analysis and locally compact groups. Oxford: Clarendon Press 1968 · Zbl 0165.15601
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[14] Domar, Y.: On the spectral synthesis problem for (n?1)-dimensional subsets of ? n . Ark. Mat.9, 23-37 (1971) · Zbl 0212.15004
[15] Howe, R.: On a connection between nilpotent groups and oscillatory integrals associated to singularities. Pacific J. Math.73, 329-363 (1977) · Zbl 0383.22009
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