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Analyse Harmonique sur les groupes de Heisenberg généralisés

Harmonic analysis on generalized Heisenberg groups

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Abstract

LetG=(X 1,X 2,X 3) B be the generalized Heisenberg group as defined in Commen. Math. Helv. 1974 byH. Reiter. Under some natural conditions onG involving not the separability, we classify the unitary irreducible representations ofG, and prove a Fourier inversion formula.

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Bibliographie

  1. Baggett, L.: Operators arising from representations of nilpotent Lie groups. J. Funct. Anal.24, 379–396 (1977).

    Google Scholar 

  2. Mackey, G. W.: Unitary representations of group extensions I. Acta Math.99, 265–311 (1958).

    Google Scholar 

  3. Pytlik, M.:L 1-harmonic analysis on semi direct products of abelian groups. Mh. Math.93, 309–328 (1982).

    Google Scholar 

  4. Reiter, H.: Classical Harmonic Analysis and Locally Compact Groups. Oxford: Clarendon Press. 1968.

    Google Scholar 

  5. Reiter, H.: Über den Satz von Wiener und lokalkompakte Gruppen. Commen. Math. Helv.49, 333–364 (1974).

    Google Scholar 

  6. Weil, A.: Sur certains groupes d'opérateurs unitaires. Acta Math.111, 143–211 (1964).

    Google Scholar 

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Authors and Affiliations

  1. Institut de mathématiques Faculté des sciences, Université de Lausanne, CH-1015, Lausanne-Dorigny, Suisse

    Marc Burger

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  1. Marc Burger
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Burger, M. Analyse Harmonique sur les groupes de Heisenberg généralisés. Monatshefte für Mathematik 98, 29–40 (1984). https://doi.org/10.1007/BF01536906

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  • DOI: https://doi.org/10.1007/BF01536906

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