发表机构
Stockholm University; Jönköping University(斯德哥尔摩大学; 延雪平大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文提出多变量Herglotz-Nevanlinna函数的算子表示,描述其再生核Hilbert空间,并与Loewner函数类结果比较。
AI 中文摘要
本文利用自伴线性关系给出了多变量Herglotz-Nevanlinna函数的算子表示。此外,还给出了对应于多变量Herglotz-Nevanlinna函数的再生核Hilbert空间的描述,并与关于Loewner函数类的某些现有结果进行了比较。
英文摘要
In this paper, we present an operator representation for Herglotz-Nevanlinna functions in several variables using self-adjoint linear relations. Moreover, a description of the reproducing kernel Hilbert space corresponding to a Herglotz-Nevanlinna function of several variables is also presented, along with a comparison to some existing result concerning the class of Loewner functions.
Comments19 pages