New classes of domains with explicit Bergman kernel
Roos, Guy ; Yin, Weiping
HAL, hal-00125886 / Harvested from HAL
Text on HAL
We introduce two classes of "egg type" domains, built on general bounded symmetric domains, for which we compute the Bergmann kernel in explicit form. We use the characterization of bounded symmetric domains through Jordan triple systems. The egg type domains are defined using the generic norm. A generalization of the Hua integral is computed; the result shows the existence of a special polynomial with integer or half-integer coefficients, attached to each irreducible bounded symmetric domain.
Publié le : 2004-07-05
Classification:  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV],  [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA] 
@article{hal-00125886,
     author = {Roos, Guy and Yin, Weiping},
     title = {New classes of domains with explicit Bergman kernel},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00125886}
}

Roos, Guy; Yin, Weiping. New classes of domains with explicit Bergman kernel. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00125886/