Intégrales de Marcel Riesz sur un cône symétrique

J. Faraut

Publications du Département de mathématiques (Lyon) (1987)

  • Issue: 1B, page 17-30
  • ISSN: 0076-1656

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Faraut, J.. "Intégrales de Marcel Riesz sur un cône symétrique." Publications du Département de mathématiques (Lyon) (1987): 17-30. <http://eudml.org/doc/273395>.

@article{Faraut1987,
author = {Faraut, J.},
journal = {Publications du Département de mathématiques (Lyon)},
language = {fre},
number = {1B},
pages = {17-30},
publisher = {Université Claude Bernard - Lyon 1},
title = {Intégrales de Marcel Riesz sur un cône symétrique},
url = {http://eudml.org/doc/273395},
year = {1987},
}

TY - JOUR
AU - Faraut, J.
TI - Intégrales de Marcel Riesz sur un cône symétrique
JO - Publications du Département de mathématiques (Lyon)
PY - 1987
PB - Université Claude Bernard - Lyon 1
IS - 1B
SP - 17
EP - 30
LA - fre
UR - http://eudml.org/doc/273395
ER -

References

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  2. [2] Garding ( G.L.). _ The solution of Cauchy's problem for two totally hyperbolic linear differential equations by means of Riesz potentials, Ann. of Math., t. 48, 1947, p. 785-826. Zbl0029.21601MR22648
  3. [3] Gindikin ( S.G.). _ Analysis in homogeneous domains, Russian math, surveys, t. 19, 1964, p. 1-89. Zbl0144.08101MR171941
  4. [4] Gindikin ( S.G.) and Vainberg ( B.R.). _ On the strong Huyghens principle for a class of differential operators with constant coefficients, Trans. Moskow Math. Soc, t. 16, 1967, p. 163-196. Zbl0194.12804MR227592
  5. [5] Herz ( C.H.). _ Bessel functions of matrix argument, Ann. of Math., t. 61, 1955, p. 474-523. Zbl0066.32002MR69960
  6. [6] Koecher ( M.). _ Positivitätsbereiche im Rn, Amer. J. of Math., t. 79, 1957, p. 575-596. Zbl0078.01205MR90771
  7. [7] Koecher ( M.). _ Die Geodätischen von Positivitätsbereichen, Math. Annalen, t. 135, 1958, p. 192-202. Zbl0083.07202MR103987
  8. [8] Riesz ( M.). _L'intégrale de Riemann-Liouville et le problème de Cauchy, Acta Math., t. 81, 1949, p. 1-223. Zbl0033.27601MR30102
  9. [9] Schwartz ( G.W.). _ Smooth functions invariant under the action of a compact Lie group, Topology, t. 14, 1975, p. 63-68. Zbl0297.57015MR370643
  10. [10] Siegel ( C.L.). _ Uber die analytische Theorie der quadratischen Formen, Ann. of Math., t. 36, 1935, p. 527-606. Zbl61.0140.01MR1503238JFM61.0140.01
  11. [11] Tricomi ( F.). _Sulla trasformazione e il teorema di reciprocità di Hankel, Atti della Reale Accad. Naz. dei Lincei, Rendiconti, t. 22, 1935, p. 564-571. Zbl0013.39802JFM61.1205.01
  12. [12] Vinberg ( E.B.). _ Homogeneous cones, Soviet Math. Dokl., t. 1, 1960, p. 787-790. Zbl0143.05203MR141680
  13. [13] Weyl ( H.). _ The classicals groups. _ Princeton University Press1946. Zbl1024.20502JFM65.0058.02
  14. [14] Wlshart ( J.). _ The generalized product moment distribution in samples from a normal multivariate population, Biometrika, t. 20 A, 1928, p. 32-43. JFM54.0565.02

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