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

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

2007-01-21

arxiv.org/abs/math/0701567v1

Mathematics

Complex Variables

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

Scientific paper

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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