References
Adel'son-Vel'ski, G.M., Šreider, Yu.A.: The Banach mean on groups. Uspechi Mat. Nauk (N.S.)12, 131–136 (1957).
Anusiak, Z.: On generalized Beurling's theorem and symmetry ofL 1-group algebras. Colloquium Math.23, 287–297 (1971).
Dixmier, J.: Opérateurs de rang fini dans les représentations unitaires. Inst. Hautes Études Sci. Publ. Math.6, 305–317 (1960).
Hulanicki, A.: On the spectral radius of hermitian elements in group algebras. Pac. J. Math.18, 277–287 (1966).
Hulanicki, A.: On symmetry of group algebras of discrete nilpotent groups. Studia Math.35, 207–219 (1970).
Jenkins, J.W.: Nonsymmetric group algebras. (To appear.)
Jenkins, J. W.: A characterization of growth in locally compact groups. (To appear.)
Milnor, J.: Growth of finitely generated solvable groups. J. Diff. Geometry2, 447–449 (1968).
Takahashi, R.: Sur les représentations unitaires des groupes de Lorentz généralisés. Bull. Soc. Math. France91, 289–433 (1963).
Wolf, J.A.: Growth of finitely generated solvable groups and curvature of Riemannian manifolds. J. Diff. Geometry2, 421–446 (1968).
Author information
Authors and Affiliations
Additional information
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.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01418936