{"title":"罗杰-戈登和正型函数","authors":"Alexandre Afgoustidis","doi":"arxiv-2409.08668","DOIUrl":null,"url":null,"abstract":"Ce texte, \\'ecrit pour la Gazette de la Soci\\'et\\'e math\\'ematique de France,\n\\'evoque les fonctions de type positif et leur histoire avant 1950 ; on y\npr\\'esente notamment des extraits de lettres \\'ecrites par Roger Godement, qui\nleur consacra sa th\\`ese en 1946. This is an expository paper on the early history of positive-definite\nfunctions, written for the \"Gazette de la Soci\\'et\\'e Math\\'ematique de\nFrance\". It contains pictures of letters written by Roger Godement, during and\nafter the preparation of his 1946 thesis about positive-definite functions on\ngroups.","PeriodicalId":501462,"journal":{"name":"arXiv - MATH - History and Overview","volume":"19 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Roger Godement et les fonctions de type positif\",\"authors\":\"Alexandre Afgoustidis\",\"doi\":\"arxiv-2409.08668\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Ce texte, \\\\'ecrit pour la Gazette de la Soci\\\\'et\\\\'e math\\\\'ematique de France,\\n\\\\'evoque les fonctions de type positif et leur histoire avant 1950 ; on y\\npr\\\\'esente notamment des extraits de lettres \\\\'ecrites par Roger Godement, qui\\nleur consacra sa th\\\\`ese en 1946. This is an expository paper on the early history of positive-definite\\nfunctions, written for the \\\"Gazette de la Soci\\\\'et\\\\'e Math\\\\'ematique de\\nFrance\\\". It contains pictures of letters written by Roger Godement, during and\\nafter the preparation of his 1946 thesis about positive-definite functions on\\ngroups.\",\"PeriodicalId\":501462,\"journal\":{\"name\":\"arXiv - MATH - History and Overview\",\"volume\":\"19 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - History and Overview\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.08668\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - History and Overview","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08668","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
这篇为《法国数学学会公报》撰写的文章回顾了1950年之前的正定函数及其历史;其中还包括罗杰-戈德门(Roger Godement)的文章节选,他于1946年去世。这是一篇关于正定函数早期历史的说明性论文,是为 "Gazette de la Soci\'et\'e Math\'ematique deFrance "撰写的。它包含了罗杰-戈德门特(Roger Godement)在1946年关于群上正有限函数的论文准备期间和之后所写的信件图片。
Ce texte, \'ecrit pour la Gazette de la Soci\'et\'e math\'ematique de France,
\'evoque les fonctions de type positif et leur histoire avant 1950 ; on y
pr\'esente notamment des extraits de lettres \'ecrites par Roger Godement, qui
leur consacra sa th\`ese en 1946. This is an expository paper on the early history of positive-definite
functions, written for the "Gazette de la Soci\'et\'e Math\'ematique de
France". It contains pictures of letters written by Roger Godement, during and
after the preparation of his 1946 thesis about positive-definite functions on
groups.