群上不变积分理论的谱系：Hurwitz，Schur，Weyl，Haar，Neumann，Kakutani，Weil，Kakutani-Kodaira
Lineage of the Theory of Invariant Integrals on Groups: Hurwitz, Schur, Weyl, Haar, Neumann, Kakutani, Weil, Kakutani-Kodaira
摘要：
这主要是第29届大会论文集的翻译。关于数学史，津田大学，2018年10月举行，我的演讲。第一次当我研究的历史理论的不变积分（或措施）是一个意外的机会，我被要求写“Kaisetsu”（解释和评论文章）的新书教授M。Saito，a first translation into Japanese of the famous Weil's book“L'intégrations dans les groupes topologiques et. ".就我个人而言，对于我的专业工作，它只需要阅读这韦尔的原书和几本教科书的测度论。对于写作的Kaisetsu上述，除了几个数学论文，也韦伊的非数学作品，这是足以让我读哈尔的原始文件大致和类似的其他历史经典。因此，我感到有必要进一步研究，现在我打算做一个历史研究。本文详细阅读了赫维茨、舒尔、外尔等人的原始论文，从自己的角度解释了他们的内容，并给出了他们之间的关系。我有意做一个历史研究。本文详细阅读了赫维茨、舒尔、外尔等人的原始论文，从自己的角度解释了他们的内容，并给出了他们之间的关系。
英文摘要：
This is mainly a translation of Proc. of the 29th Symp. on History of Mathematics, Tsuda University, held Oct. 2018, of my talk. The first occasion when I studied the history of the theory of invariant integrals (or measures) was an unintended opportunity where I was asked to write "Kaisetsu" (explanatory and commentary article) to the new book of Prof. M. Saito, a first translation into Japanese of the famous Weil's book "L'intégrations dans les groupes topologiques et...". Personally, for my professional work, it was needed only to read this Weil's original book and several text books on measure theory. For writing the Kaisetsu mentioned above, other than several mathematical papers and also Weil's non-mathematical works, it was sufficient for me to read Haar's original paper roughly and similarly for other historical classics. Thus I felt the necessity of further study and now I make intendedly a historical study. Reading original papers due to Hurwitz, Schur, Weyl and so on in detail, I explain their contents from my point of view, and give the relationships among them. I make intendedly a historical study. Reading original papers due to Hurwitz, Schur, Weyl and so on in detail, I explain their contents from my point of view, and give the relationships among them.
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。
