论文标题

新伯格曼内核的零

Zeros of new Bergman kernels

论文作者

Ghiloufi, Noureddine, Snoun, Safa

论文摘要

在本文中,我们明确确定与新伯格曼空间$ \ MATHCAL A_ {α,β}^2(\ Mathbb d)$最近考虑的新伯格曼空间相关的内核$ \ mathbb k_ {α,β} $。然后,我们研究这些内核的零的分布,基本上是当$α\ in \ mathbb n $中,其中零是由真实多项式$ q_ {α,β} $的零给出的。在整个论文中给出了一些数值结果。

In this paper we determine explicitly the kernels $\mathbb K_{α,β}$ associated with new Bergman spaces $\mathcal A_{α,β}^2(\mathbb D)$ considered recently by the first author and M. Zaway. Then we study the distribution of the zeros of these kernels essentially when $α\in\mathbb N$ where the zeros are given by the zeros of a real polynomial $Q_{α,β}$. Some numerical results are given throughout the paper.

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