论文标题
异常的爱好多项式的光谱理论
Spectral Theory of Exceptional Hermite Polynomials
论文作者
论文摘要
在本文中，我们从光谱理论的角度重新审视了异常的赫米特多项式，这是兰斯·利特尔·约翰（Lance Littlejohn）发起的。根据Deift的结果，我们提供了这些多项式家庭完整性的替代证明。此外，使用Hermite Wronskians的等效性，我们表征了特殊的Hermite多项式类别的可能差距集。
In this paper we revisit exceptional Hermite polynomials from the point of view of spectral theory, following the work initiated by Lance Littlejohn. Adapting a result of Deift, we provide an alternative proof of the completeness of these polynomial families. In addition, using equivalence of Hermite Wronskians we characterize the possible gap sets for the class of exceptional Hermite polynomials.
