Complex Analysis
A note on the Bergman kernel of a certain Hartogs domain
[Une note sur le noyau de Bergman pour un certain domaine de Hartogs]
Comptes Rendus. Mathématique, Tome 350 (2012) no. 17-18, pp. 827-829.

Nous obtenons une formule explicite du noyau de Bergman pour un certain domaine de Hartogs.

We give an explicit formula of the Bergman kernel of a certain Hartogs domain.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2012.10.009
Yamamori, Atsushi 1

1 Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, South Korea
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Yamamori, Atsushi. A note on the Bergman kernel of a certain Hartogs domain. Comptes Rendus. Mathématique, Tome 350 (2012) no. 17-18, pp. 827-829. doi : 10.1016/j.crma.2012.10.009. http://www.numdam.org/articles/10.1016/j.crma.2012.10.009/

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[4] Roos, G. Weighted Bergman kernels and virtual Bergman kernels, Sci. China Ser. A, Volume 48 (2005) no. Suppl., pp. 387-399

[5] Yamamori, A. A remark on the Bergman kernels of the Cartan–Hartogs domains, C. R. Acad. Sci. Paris, Ser. I, Volume 350 (2012), pp. 157-160

[6] A. Yamamori, The Bergman kernel of the Fock–Bargmann–Hartogs domain and polylogarithm function, Complex Var. Elliptic Equ., , in press. | DOI

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