A note on the Bergman kernel of a certain Hartogs domain

Atsushi Yamamori

doi:10.1016/j.crma.2012.10.009

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]

Présenté par : the Editorial Board

Atsushi Yamamori ¹

¹ Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, South Korea

Comptes Rendus. Mathématique, Volume 350 (2012) no. 17-18, pp. 827-829.

Résumé
Abstract

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 : 2012-09-13
Accepté le : 2012-10-08
Publié le : 2012-09-01

DOI : 10.1016/j.crma.2012.10.009

Affiliations des auteurs :

Atsushi Yamamori ¹

¹ Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, South Korea

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     title = {A note on the {Bergman} kernel of a certain {Hartogs} domain},
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     doi = {10.1016/j.crma.2012.10.009},
     language = {en},
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Atsushi Yamamori. A note on the Bergman kernel of a certain Hartogs domain. Comptes Rendus. Mathématique, Volume 350 (2012) no. 17-18, pp. 827-829. doi : 10.1016/j.crma.2012.10.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.10.009/

Bibliographie
Cité par

[1] D. Cvijovic Polypseudologarithms revisited, Physica A, Volume 389 (2010), pp. 1594-1600

[2] M. Engliš Berezin quantization and reproducing kernels on complex domains, Trans. Amer. Math. Soc., Volume 348 (1996), pp. 411-479

[3] E. Ligocka On the Forelli–Rudin construction and weighted Bergman projection, Studia Math., Volume 94 (1989), pp. 257-272

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

[5] A. Yamamori 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

Jineng Dai; Yuanyuan Li The Bergman kernel and projection on the Fock-Bargmann-Hartogs domain, Complex Variables and Elliptic Equations, Volume 67 (2022) no. 1, pp. 34-48 | DOI:10.1080/17476933.2020.1816982 | Zbl:1495.32008
Atsushi Yamamori A generalization of the Forelli-Rudin construction and deflation identities, Proceedings of the American Mathematical Society, Volume 143 (2015) no. 4, pp. 1569-1581 | DOI:10.1090/s0002-9939-2014-12317-3 | Zbl:1321.32004
Atsushi Yamamori A remark on the Bergman kernels of the Cartan-Hartogs domains, Comptes Rendus. Mathématique. Académie des Sciences, Paris, Volume 350 (2012) no. 3-4, pp. 157-160 | DOI:10.1016/j.crma.2012.01.005 | Zbl:1239.32002

Cité par 3 documents. Sources : zbMATH

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