Sur la transformation d'Abel des groupes de Lie semisimples de rang un

François Rouvière

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1983)

  • Volume: 10, Issue: 2, page 263-290
  • ISSN: 0391-173X

How to cite

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Rouvière, François. "Sur la transformation d'Abel des groupes de Lie semisimples de rang un." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 10.2 (1983): 263-290. <http://eudml.org/doc/83907>.

@article{Rouvière1983,
author = {Rouvière, François},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Paley-Wiener theorems; semisimple Lie groups; Abel transform; zonal spherical functions},
language = {fre},
number = {2},
pages = {263-290},
publisher = {Scuola normale superiore},
title = {Sur la transformation d'Abel des groupes de Lie semisimples de rang un},
url = {http://eudml.org/doc/83907},
volume = {10},
year = {1983},
}

TY - JOUR
AU - Rouvière, François
TI - Sur la transformation d'Abel des groupes de Lie semisimples de rang un
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1983
PB - Scuola normale superiore
VL - 10
IS - 2
SP - 263
EP - 290
LA - fre
KW - Paley-Wiener theorems; semisimple Lie groups; Abel transform; zonal spherical functions
UR - http://eudml.org/doc/83907
ER -

References

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  1. [1] J.J. Duistermaat - J.A.C. Kolk - V.S. Varadarajan, Spectra of compact locally symmetric manifolds of negative curvature, Invent. Math., 52 (1979), pp. 27-93. Zbl0434.58019MR532745
  2. [1] Harish-Chandra, Spherical functions on a semisimple Lie group I, II, Amer. J. Math., 80 (1958), pp. 241-310 et 553-613. Zbl0093.12801MR94407
  3. [1] S. Helgason, Differential geometry and symmetric spaces, Academic Press, 1962. Zbl0111.18101MR145455
  4. [2] S. Helgason, Differential geometry, Lie groups and symmetric spaces, Academic Press, 1978. Zbl0451.53038MR514561
  5. [3] S. Helgason, An analogue of the Paley-Wiener theorem for the Fourier transform on certain symmetric spaces, Math. Ann., 165 (1966), pp. 297-308. Zbl0178.17101MR223497
  6. [4] S. Helgason, A duality for symmetric spaces with applications to group representations, Advances in Math., 5 (1970), pp. 1-154. Zbl0209.25403MR263988
  7. [5] S. Helgason, Analysis on Lie groups and homogeneous spaces, Regional Conf. Series Math., n. 14 (1972). Zbl0264.22010MR316632
  8. [1] W. Magnus - F. Oberhettinger - R.P. Soni, Formulas and theorems for the special functions of mathematical physics, 3rd ed., Springer-Verlag, 1966. Zbl0143.08502MR232968
  9. [1] R. Takahashi, Sur les représentations unitaires des groupes de Lorentz généralisés, Bull. Soc. Math. France, 91 (1963), pp. 289-433. Zbl0196.15501MR179296
  10. [1] P.C. Trombi - V.S. Varadarajan, Spherical transforms on semisimple Lie groups, Ann. of Math., 94 (1971), pp. 246-303. Zbl0203.12802MR289725
  11. [1] N.R. Wallach, Harmonic analysis on homogeneous spaces, Marcel Dekker, 1973. Zbl0265.22022MR498996
  12. [1] G. Warner, Harmonic analysis on semisimple Lie groups II, Springer-Verlag, 1972. Zbl0265.22021

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