具有无穷多个零点的Freud型加权空间中的双标准正交系--一个插值问题
Biorthonormal Systems in Freud-type Weighted Spaces with Infinitely Many Zeros - An Interpolation Problem
摘要：
在Freud型加权（$w$）空间中，引入另一个具有无穷多根的权（$v$），通过从原关于$w$的标准规范正交系中删除无穷多个元素，得到了一个关于$vw$的完备极小系.共轭系统的构造隐含着无穷多个节点上的插值问题。除了解的存在性外，我们还给出了解的一些收敛性质.
英文摘要：
In a Freud-type weighted ($w$) space, introducing another weight ($v$) with infinitely many roots, we give a complete and minimal system with respect to $vw$, by deleting infinitely many elements from the original orthonormal system with respect to $w$. The construction of the conjugate system implies an interpolation problem at infinitely many nodes. Besides the existence, we give some convergence properties of the solution.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
