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Integral Transforms and Special Functions Volume 18, 2007 - Issue 5
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Original Articles

Lp-Poisson integral representations of solutions of the Hua system on the Lie ball in ℂn

Fouzia El Wassouli Department of Mathematics, Faculty of Sciences, University Ibn Tofail, Kenitra, MoroccoView further author information
Pages 321-328 | Received 30 May 2006, Published online: 24 Apr 2007

References

  • Lassalle , M. 1984 . Les equations de Hua d'un domaine borne symetrique de type tube . Inventiones Mathematical , 77 : 129 – 161 .
  • Shimeno , N. 1996 . Boundary value problems for the Shilov boundary symmetric domain of tube type . Journal of Functional Analysis , 140 : 124 – 141 .
  • Boussejra , A. 2003 . L 2-Poisson integral representations of solutions of the Hua operator on the bounded symmetric domain . Journal of Functional Analysis , 202 : 25 – 43 .
  • El Wassouli , F. 2006 . L 2-Poisson integral representations of solutions of the Hua system on the Lie ball in ℂ2 . Journal of Integral Transforms and Special Functions , 17 : 421 – 431 .
  • Hua , L. K. 1963 . Harmonic Analysis of Functions of Several Variables in the Classical Domains , Providence, RI : American Mathematical Society .
  • Faraut , J. and Koranyi , A. 1994 . Analysis on Symmetric Cones , Oxford : Clarendon Press .
  • Faraut , J. and Kouranyi , A. 1990 . Functions spaces and reproducing kernels on bounded symmetric domains . Journal of Functional Analysis , 88 : 64 – 89 .
  • Boussejra , A. 2006 . L p -Poisson integral representations of Solution of the Hua system on Hermitian symmetric spaces of tube type . Journal of Functional Analysis , 235 : 413 – 429 .
  • Nikiforov , A. and Ouvarov , V. 1983 . Fonctions Spéciales de la Physique Mathématique , (Edn) , Moscou : Éditions Mir .

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