arXiv math/07015672007-01-21math.CV

Polynômes de Hua, noyau de Bergman des domaines de Cartan-Hartogs et problème de Lu Qikeng

F. Zohra Demmad-Abdessameud

备注：: 38 pages, French, abstract in English language, Rend. Sem. Mat. Univ. Pol. Torino, vol. 67, 1 (2009), to appear

英文摘要：

In this paper we reduce the Lu Qikeng problem for Cartan-Hartogs domains to an algebraic problem on Hua polynomials and we give a complete solution when the Cartan-Hartogs domain is built on a bounded symmetric domain of dimension at most 4.

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