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Harmonic analysis and centers of beurling algebras

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Commentarii Mathematici Helvetici

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References

  1. Z. Anusiak,Symmetry of L 1-group algebra of locally compact groups with relatively compact classes of conjugated elements, Bull. Acad. Polon. Sci.18 (1970), 329–332.

    MATH  MathSciNet  Google Scholar 

  2. A. Beurling,Sur les integrales de Fourier absolument convergentes et leur application à une transformation fonctionelle, IX congres des mathematiciens scandinaves, Helsinki, 1938.

  3. Y. Domar,Harmonic analysis based on certain commutative Banach algebras, Acta. Math.96 (1956), 1–66.

    Article  MATH  MathSciNet  Google Scholar 

  4. I. Gelfand, D. Raikov, andG. Shilov,Commutative Normed Rings, Chelsea, New York, 1964.

    Google Scholar 

  5. R. Giles,Mathematical Foundations of Thermodynamics, Pergamon Press, Oxford, 1964.

    MATH  Google Scholar 

  6. R. Godement,Introduction aux travaux de A. Selberg, Seminaire Bourbaki, 1956/1957, exposé 144.

  7. S. Grosser andM. Moskowitz,Compactness conditions in topological groups, J. Reine Angew. Math.246 (1971), 1–40.

    MATH  MathSciNet  Google Scholar 

  8. A. Guichardet,Analyse harmonique commutative, Dunod, Paris, 1968.

    MATH  Google Scholar 

  9. S. Helgason,Differential geometry and symmetric spaces, Academic Press, New York, 1962.

    MATH  Google Scholar 

  10. E. Hille andR. Phillips,Functional analysis and semigroups, A.M.S. Colloquium Publication #31, 1957.

  11. A. Hulanicki,On positive functionals on a group algebra multiplicative on a subalgebra, Studia Math.37 (1971), 163–171.

    MATH  MathSciNet  Google Scholar 

  12. A. Hulanicki,On the spectrum of convolution operators on groups with polynomial growth, Invent. Math.17 (1972), 135–142.

    Article  MATH  MathSciNet  Google Scholar 

  13. E. Kaniuth,Zur harmonischen Analyse klassenkompakter Gruppen, Math. Z.110 (1969), 297–305.

    Article  MATH  MathSciNet  Google Scholar 

  14. J. Liukkonen,Dual spaces of groups with precompact conjugacy classes, Trans. Amer. Math. Soc.180 (1973), 85–108.

    Article  MATH  MathSciNet  Google Scholar 

  15. J. Liukkonen andR. Mosak,Harmonic analysis and centers of group algebras, Trans. Amer. Math. Soc.195 (1974), 147–163.

    Article  MATH  MathSciNet  Google Scholar 

  16. Y. Lyubich andV. Matsaev,On operators with a separable spectrum, Matem. Sb.56 (1962), 433–468.

    Google Scholar 

  17. G. Mackey,The Laplace transform for locally compact Abelian groups, Proc. Nat. Acad. Sci. U.S.A.34 (1948), 156–162.

    Article  MATH  MathSciNet  Google Scholar 

  18. R. Mosak,The L 1-and C *-algebras of [FIA] B groups and their representations, Trans. Amer. Math. Soc.163 (1972), 85–108.

    Article  MathSciNet  Google Scholar 

  19. R. Mosak,Central functions in group algebras, Proc. Amer. Math. Soc.29 (1971), 613–616.

    Article  MATH  MathSciNet  Google Scholar 

  20. R. Mosak andM. Moskowitz,Central idempotents in measure algebras, Math. Z.122 (1971), 217–222.

    Article  MathSciNet  Google Scholar 

  21. M. Naimark,Normed Rings, Noordhoff N.V., Groningen, 1964.

    MATH  Google Scholar 

  22. T. Pytlik,On the spectral radius of elements in group algebras, Bull. Acad. Polon. Sci.21 (1973). 899–902.

    MATH  MathSciNet  Google Scholar 

  23. H. Reiter,Classical harmonic analysis and locally compact groups, Oxford, 1968.

  24. C. Rickart,General theory of Banach algebras, Van Nostrand, Princeton, 1960.

    MATH  Google Scholar 

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Research partially supported by the N.S.F.

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Liukkonen, J., Mosak, R. Harmonic analysis and centers of beurling algebras. Commentarii Mathematici Helvetici 52, 297–315 (1977). https://doi.org/10.1007/BF02567370

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  • DOI: https://doi.org/10.1007/BF02567370

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