Dans cette note on calcule le noyau de Bergman de la boule unité associé à la plus petite norme sur qui prolonge la norme euclidienne sur et nous donnons quelques applications.
In this note we compute the Bergman kernel of the unit ball with respect to the smallest norm in that extends the euclidean norm in and give some applications.
@article{AIF_1997__47_3_915_0, author = {Oeljeklaus, Karl and Pflug, Peter and Youssfi, El Hassan}, title = {The {Bergman} kernel of the minimal ball and applications}, journal = {Annales de l'Institut Fourier}, pages = {915--928}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {47}, number = {3}, year = {1997}, doi = {10.5802/aif.1585}, mrnumber = {98d:32028}, zbl = {0873.32025}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.1585/} }
TY - JOUR AU - Oeljeklaus, Karl AU - Pflug, Peter AU - Youssfi, El Hassan TI - The Bergman kernel of the minimal ball and applications JO - Annales de l'Institut Fourier PY - 1997 SP - 915 EP - 928 VL - 47 IS - 3 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.1585/ DO - 10.5802/aif.1585 LA - en ID - AIF_1997__47_3_915_0 ER -
%0 Journal Article %A Oeljeklaus, Karl %A Pflug, Peter %A Youssfi, El Hassan %T The Bergman kernel of the minimal ball and applications %J Annales de l'Institut Fourier %D 1997 %P 915-928 %V 47 %N 3 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.1585/ %R 10.5802/aif.1585 %G en %F AIF_1997__47_3_915_0
Oeljeklaus, Karl; Pflug, Peter; Youssfi, El Hassan. The Bergman kernel of the minimal ball and applications. Annales de l'Institut Fourier, Tome 47 (1997) no. 3, pp. 915-928. doi : 10.5802/aif.1585. http://www.numdam.org/articles/10.5802/aif.1585/
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