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On primary ideals in the group algebra of a nilpotent Lie group

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References

  1. Boidol, J., Leptin, H., Schürmann, J., Vahle, D.: Räume primitiver Ideale von Gruppenalgebren. Math. Ann.236, 1–13 (1978)

    Google Scholar 

  2. Brown, I.D.: Dual topology of a nilpotent Lie group. Ann. Sci. Ecole Norm. Sup.6, Sér. 4, 407–411 (1973)

    Google Scholar 

  3. Dixmier, J.: Opérateurs de rang fini dans les représentations unitaires. Publ. Math. IHES6, 305–317 (1960)

    Google Scholar 

  4. Dixmier, J.: Algèbres enveloppantes. Paris Gauthier-Villars 1974

    Google Scholar 

  5. Hey, H.J., Ludwig, J.: Der Satz von Helson-Reiter für spezielle nilpotente Lie-Gruppen. Math. Ann.239, 207–218 (1979)

    Google Scholar 

  6. Kirillow, A.A.: Unitary representations of nilpotent Lie groups. Usp. Math. Nauk17, 57–110 (1962)

    Google Scholar 

  7. Kirsch, W., Müller D.: On the synthesis problem for orbits of Lie groups in ℝn. Ark. Mat.18, 145–155 (1980)

    Google Scholar 

  8. Ludwig, J.: Polynomial growth and ideals in group algebras. Manuscripta Math.30, 215–221 (1980)

    Google Scholar 

  9. Ludwig, J.: On the synthesis problem for points in the dual of a nilpotent Lie group. Preprint 81

  10. Schwartz, L.: Théorie des distributions. Paris: Hermann 1966

    Google Scholar 

  11. Dixmier, J., Malliavin, P.: Factorisation de fonctions et de vecteurs indéfiniment différentiables. Bull. Sci. math., II Sér.102, 305–330 (1978)

    Google Scholar 

  12. Reiter, H.: Classical harmonic analysis and locally compact groups. Oxford: Clarendon Press 1968

    Google Scholar 

  13. Leptin, H.: Ideal theory in group algebras of locally compact groups. Invent. Math.31, 259–278 (1976)

    Google Scholar 

  14. Domar, Y.: On the spectral synthesis problem for (n−1)-dimensional subsets of ℝn. Ark. Mat.9, 23–37 (1971)

    Google Scholar 

  15. Howe, R.: On a connection between nilpotent groups and oscillatory integrals associated to singularities. Pacific J. Math.73, 329–363 (1977)

    Google Scholar 

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  1. Fakultät für Mathematik der Universität, Universitätsstrasse, D-4800, Bielefeld, Federal Republic of Germany

    Jean Ludwig

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  1. Jean Ludwig
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Ludwig, J. On primary ideals in the group algebra of a nilpotent Lie group. Math. Ann. 262, 287–304 (1983). https://doi.org/10.1007/BF01456011

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