标题： 多变量的正交多项式 显示英文标题

标题： Multiple Orthogonal Polynomials of two real variables

摘要： 已知的单变量多重正交多项式是满足多个测度正交条件的多项式，在Hermite-Padé逼近、随机矩阵理论或可积系统等几个应用中起着重要作用。 然而，这个理论仅在单变量情况下进行了研究。 我们给出了双变量的多重正交多项式的推广。 此外，还给出了某些主要性质的扩展版本。 另外，在论文中给出了一些例子。 显示英文摘要

摘要： Polynomials known as Multiple Orthogonal Polynomials in a single variable are polynomials that satisfy orthogonality conditions concerning multiple measures and play a significant role in several applications such as Hermite-Pad\'e approximation, random matrix theory or integrable systems. However, this theory has only been studied in the univariate case. We give a generalization of Multiple Orthogonal Polynomials for two variables. Moreover, an extended version of some of the main properties are given. Additionally, some examples are given along the paper.