Dixmier-Malliavin定理与Bornological向量空间
The Dixmier-Malliavin Theorem and Bornological Vector Spaces
摘要：
本注记旨在用拓扑向量空间而不是拓扑向量空间的语言重新表述关于光滑群表示的Dixmier-Malliavin定理。这种语言可以证明更一般的定理，我们可以用它来加强Meyer在arXiv：math/0310094中的结果。本文是根据作者的部分论文撰写的。
英文摘要：
This note is intended to reformulate the Dixmier-Malliavin theorem about smooth group representations in the language of bornological vector spaces, instead of topological vector spaces. This language turns out to allow a more general theorem to be proven, and we are able to use it to strengthen a result of Meyer from arXiv:math/0310094. This paper is based on a part of the author's thesis.
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。
