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Algèbres Ap et convoluteurs de Lp

Part of the Lecture Notes in Mathematics book series (LNM,volume 180)

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Bibliographie

  1. A. BEURLING and H. HELSON-Fourier-Stieltjes transforms with bounded powers, Math. Scand., 1, 1953, p. 120–126.

    MATH  MathSciNet  Google Scholar 

  2. S. W. DRURY-Studies in regular algebras, Dissertation at the Univ. of Cambridge, 1969.

    Google Scholar 

  3. P. EYMARD-L'algèbre de Fourier d'un groupe localement compact, Bull. Soc. Math. France, 92, 1964, p. 181–236.

    MATH  MathSciNet  Google Scholar 

  4. A. FIGA-TALAMANCA-Translation invariant operators in Lp, Duke Math. Journ., 32, 1965, p. 495–501.

    CrossRef  MATH  MathSciNet  Google Scholar 

  5. F. P. GREENLEAF-Invariant means on topological groups, Van Nostrand, N. Y., 1969.

    Google Scholar 

  6. H. HELSON-Spectral synthesis of bounded functions, Ark. för Mat., 1, 1952, p. 497–502.

    MATH  MathSciNet  Google Scholar 

  7. C. S. HERZ-Spectral synthesis for the circle, Ann. of Math., 68, 1958, p. 709–712.

    CrossRef  MATH  MathSciNet  Google Scholar 

  8. C. S. HERZ-Remarques sur la Note précédente de M. Varopoulos, C. R. Acad. Sc. Paris, 260, 1965, p. 6001–6004.

    MATH  MathSciNet  Google Scholar 

  9. Y. KATZNELSON-An introduction to harmonic analysis, John Wiley and Sons, 1968.

    Google Scholar 

  10. R. A. KUNZE and E. M. STEIN-Uniformly bounded representations and harmonic analysis of the 2 × 2 real unimodular group, Amer. J. of Math., 82, 1960, p. 1–62.

    CrossRef  MATH  MathSciNet  Google Scholar 

  11. J. LAMPERTI-On the isometries of certain function spaces, Pacific J. Math., 8, 1958, p. 459–466.

    MATH  MathSciNet  Google Scholar 

  12. H. LEPTIN-On locally compact groups with invariant means, Proc. of the A. M. S., 19, 1968, p. 489–494.

    CrossRef  MATH  MathSciNet  Google Scholar 

  13. H. LEPTIN — Sur l'algèbre de Fourier d'un groupe localement compact, C. R. Acad. Sc. Paris, 266, 1968, p. 1180–1182.

    MATH  MathSciNet  Google Scholar 

  14. N. LOHOUÉ — Analyse harmonique dans les espaces de multiplicateurs, Thèse de 3e Cycle, Grenoble, 1969.

    Google Scholar 

  15. S. K. PARROTT — Isometric multipliers, Pacific J. of Math., 25, 1968, p. 159–166.

    MATH  MathSciNet  Google Scholar 

  16. H. REITER — Classical harmonic analysis and locally compact groups, Oxford at the Clarendon Press, 1968.

    Google Scholar 

  17. M. A. RIEFFEL — Multipliers and tensor products of LP spaces of locally compact groups, Studia Mathematica, 38, 1969, p. 71–82.

    MathSciNet  Google Scholar 

  18. L. SCHWARTZ — Sur une propriété de synthèse spectrale dans les groupes non compacts, C. R. Acad. Sc. Paris, 227, 1948, p. 424–426.

    MATH  Google Scholar 

  19. R. S. STRICHARTZ — Isomorphisms of convolution algebras, Proc. A. M. S., 17, p. 858–862.

    Google Scholar 

  20. E. M. STEIN — Interpolation of linear operators, Trans. A. M. S., 83, 1956, p. 482–492.

    CrossRef  MATH  Google Scholar 

  21. N. T. VAROPOULOS — Tensor algebras and harmonic analysis, Acta Math., 119, 1967, p. 51–112.

    CrossRef  MATH  MathSciNet  Google Scholar 

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© 1971 N. Bourbaki

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Eymard, P. (1971). Algèbres Ap et convoluteurs de Lp . In: Séminaire Bourbaki vol. 1969/70 Exposés 364–381. Lecture Notes in Mathematics, vol 180. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0058824

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  • DOI: https://doi.org/10.1007/BFb0058824

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