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

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