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On the spectrum of convolution operators on groups with polynomial growth

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References

  1. Adel'son-Vel'ski, G.M., Šreider, Yu.A.: The Banach mean on groups. Uspechi Mat. Nauk (N.S.)12, 131–136 (1957).

    Google Scholar 

  2. Anusiak, Z.: On generalized Beurling's theorem and symmetry ofL 1-group algebras. Colloquium Math.23, 287–297 (1971).

    Google Scholar 

  3. Dixmier, J.: Opérateurs de rang fini dans les représentations unitaires. Inst. Hautes Études Sci. Publ. Math.6, 305–317 (1960).

    Google Scholar 

  4. Hulanicki, A.: On the spectral radius of hermitian elements in group algebras. Pac. J. Math.18, 277–287 (1966).

    Google Scholar 

  5. Hulanicki, A.: On symmetry of group algebras of discrete nilpotent groups. Studia Math.35, 207–219 (1970).

    Google Scholar 

  6. Jenkins, J.W.: Nonsymmetric group algebras. (To appear.)

  7. Jenkins, J. W.: A characterization of growth in locally compact groups. (To appear.)

  8. Milnor, J.: Growth of finitely generated solvable groups. J. Diff. Geometry2, 447–449 (1968).

    Google Scholar 

  9. Takahashi, R.: Sur les représentations unitaires des groupes de Lorentz généralisés. Bull. Soc. Math. France91, 289–433 (1963).

    Google Scholar 

  10. Wolf, J.A.: Growth of finitely generated solvable groups and curvature of Riemannian manifolds. J. Diff. Geometry2, 421–446 (1968).

    Google Scholar 

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Authors and Affiliations

  1. Mathematical Institute, Polish Academy of Sciences, ul. Kopernika 18, Wrocław, Poland

    A. Hulanicki

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  1. A. Hulanicki
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The author would like to thank to the Members of Mathematical Institute at Aarhus C (Danmark) for their hospitality during his stay in Aarhus in the spring of 1972 when this paper was written.

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Hulanicki, A. On the spectrum of convolution operators on groups with polynomial growth. Invent Math 17, 135–142 (1972). https://doi.org/10.1007/BF01418936

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  • DOI: https://doi.org/10.1007/BF01418936

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