Algèbres A p et convoluteurs de L p

Pierre Eymard

Séminaire Bourbaki (1969-1970)

  • Volume: 12, page 55-72
  • ISSN: 0303-1179

How to cite

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Eymard, Pierre. "Algèbres $A_p$ et convoluteurs de $L^p$." Séminaire Bourbaki 12 (1969-1970): 55-72. <http://eudml.org/doc/109786>.

@article{Eymard1969-1970,
author = {Eymard, Pierre},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {55-72},
publisher = {Springer-Verlag},
title = {Algèbres $A_p$ et convoluteurs de $L^p$},
url = {http://eudml.org/doc/109786},
volume = {12},
year = {1969-1970},
}

TY - JOUR
AU - Eymard, Pierre
TI - Algèbres $A_p$ et convoluteurs de $L^p$
JO - Séminaire Bourbaki
PY - 1969-1970
PB - Springer-Verlag
VL - 12
SP - 55
EP - 72
LA - fre
UR - http://eudml.org/doc/109786
ER -

References

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  1. [1] A. Beurling and H. Helson - Fourier-Stieltjes transforms with bounded powers, Math. Scand., 1, 1953, p. 120-126. Zbl0050.33004MR58009
  2. [2] S.W. Drury - Studies in regular algebras, Dissertation at the Univ. of Cambridge, 1969. 
  3. [3] P. Eymard - L'algèbre de Fourier d'un groupe localement compact, Bull. Soc. Math. France, 92, 1964, p. 181-236. Zbl0169.46403MR228628
  4. [4] A. Figa-Talamanca - Translation invariant operators in Lp , Duke Math. Journ., 32, 1965, p. 495-501. Zbl0142.10403MR181869
  5. [5] F.P. Greenleaf - Invariant means on topological groups, Van Nostrand, N. Y., 1969. Zbl0174.19001MR251549
  6. [6] H. Helson - Spectral synthesis of bounded functions, Ark. för Mat., 1, 1952, p. 497-502. Zbl0049.35602MR49913
  7. [7] C.S. Herz - Spectral synthesis for the circle, Ann. of Math., 68, 1958, p. 709-712. Zbl0084.09703MR100758
  8. [8] C.S. Herz - Remarques sur la Note précédente de M. Varopoulos, C. R. Acad. Sc. Paris, 260, 1965, p. 6001-6004. Zbl0135.35404MR181870
  9. [9] Y. Katznelson - An introduction to narmonic analysis, John Wiley and Sons, 1968. Zbl0169.17902MR248482
  10. [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. Zbl0156.37104MR163988
  11. [11] J. Lamperti - On the isometries of certain function spaces, Pacific J. Math., 8, 1958, p. 459-466. Zbl0085.09702MR105017
  12. [12] H. Leptin - On locally compact groups with invariant means, Proc. of the A. M. S., 19, 1968, p. 489-494. Zbl0155.05702MR239001
  13. [13] H. Leptin - Sur l'algèbre de Fourier d'un groupe localement compact, C. R. Acad. Sc. Paris, 266, 1968, p. 1180-1182. Zbl0169.46501MR239002
  14. [14] N. Lohoué - Analyse harmonique dans les espaces de multiplicateurs, Thèse de 3e Cycle, Grenoble, 1969. 
  15. [15] S.K. Parrott - Isometric multipliers, Pacific J. of Math., 25, 1968, p. 159-166. Zbl0159.42301MR227323
  16. [16] H. Reiter - Classical harmonic analysis and locally compact groups, Oxford at the Clarendon Press, 1968. Zbl0165.15601MR306811
  17. [17] M.A. Rieffel - Multipliers and tensor products of Lp spaces of locally compact groups, Studia Mathematica, 38, 1969, p. 71-82. Zbl0177.41702MR244764
  18. [18] L. Schwartz - Sur une propriété de synthèse spectrale dans les groupes non compacts, C. R. Acad. Sc. Paris, 227, 1948, p. 424-426. Zbl0034.21401MR27096
  19. [19] R.S. Strichartz - Isomorphisms of convolution algebras, Proc. A. M. S., 17, p. 858-862. Zbl0168.11403MR193531
  20. [20] E.M. Stein - Interpolation of linear operators,Trans. A. M. S., 83, 1956, p. 482-492. Zbl0072.32402MR82586
  21. [21] N.T. Varopoulos - Tensor algebras and harmonic analysis, Acta Math., 119, 1967, p. 51-112. Zbl0163.37002MR240564

Citations in EuDML Documents

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  1. Carl S. Herz, Harmonic synthesis for subgroups
  2. Carl S. Herz, Une généralisation de la notion de transformée de Fourier-Stieltjes
  3. Anthony H. Dooley, Transferring L p multipliers
  4. Gero Fendler, An L p -version of a theorem of D.A. Raikov
  5. Christopher Meaney, Spherical functions and spectral synthesis
  6. Edmond Granirer, On convolution operators with small support which are far from being convolution by a bounded measure
  7. Françoise Lust-Piquard, Means on C V p ( G ) -subspaces of C V p ( G ) with RNP and Schur property

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