Geodesic
Reproducing kernels for holomorphic functions on some balls related to the Lie ball
Keiko Fujita1
1 Faculty of Culture and Education Saga University Saga, 840-8502, Japan
Annales Polonici Mathematici, Tome 91 (2007) no. 2-3, pp. 219-234.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider holomorphic functions and complex harmonic functions on some balls, including the complex Euclidean ball, the Lie ball and the dual Lie ball. After reviewing some results on Bergman kernels and harmonic Bergman kernels for these balls, we consider harmonic continuation of complex harmonic functions on these balls by using harmonic Bergman kernels. We also study Szegő kernels and harmonic Szegő kernels for these balls.
DOI : 10.4064/ap91-2-9
Keywords: consider holomorphic functions complex harmonic functions balls including complex euclidean ball lie ball dual lie ball after reviewing results bergman kernels harmonic bergman kernels these balls consider harmonic continuation complex harmonic functions these balls using harmonic bergman kernels study szeg kernels harmonic szeg kernels these balls

Keiko Fujita 1

1 Faculty of Culture and Education Saga University Saga, 840-8502, Japan 
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Keiko Fujita. Reproducing kernels for holomorphic
 functions on some balls related to the Lie ball. Annales Polonici Mathematici, Tome 91 (2007) no. 2-3, pp. 219-234. doi : 10.4064/ap91-2-9. http://geodesic.mathdoc.fr/articles/10.4064/ap91-2-9/

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