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The Bergman kernel of the minimal ball and applications. (English) Zbl 0873.32025

Summary: In this note we compute the Bergman kernel of the unit ball with respect to the smallest norm in \(\mathbb{C}^{n}\) that extends the euclidean norm in \(\mathbb{R}^{n}\), and give some applications.

MSC:

32A25 Integral representations; canonical kernels (Szegő, Bergman, etc.)
32H35 Proper holomorphic mappings, finiteness theorems
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References:

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