Harish-Chandra模族的CW整体化对参数的依赖性及$C^{\infty}$ Eisenstein级数的亚纯延拓
Dependence on parameters of CW globalizations of families of Harish-Chandra modules and the meromorphic continuation of $C^{\infty}$ Eisenstein series
摘要：
第一个主要结果是实解析Harish-Chandra模族的Casselman-Wallach整体化在参数上是连续的。我们的证明这一结果使用的结果，从论文的文森特范德诺特在几个关键的方式。在他的论文的全纯版本的结果证明的情况下，当参数空间是一个一维的复流形的分支覆盖。第二个主要结果是$C^{\infty}$ Eisenstein级数的亚纯延拓的一个证明，利用Langlands在$K$有限情形下的结果作为第一部分证明方法的应用。
英文摘要：
The first main result is that the Casselman-Wallach Globalization of a real analytic family of Harish-Chandra modules is continuous in the parameter. Our proof of this result uses results from the thesis of Vincent van der Noort in several critical ways. In his thesis the holomorphic version of the result was proved in the case when the parameter space is a one dimensional complex manifold up to a branched covering. The second main result is a proof of the meromorphic continuation of $C^{\infty}$ Eisenstein series.using Langlands' results in the $K$ finite case as an application of the methods in the proof of the first part.
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。
