高维局部场上GLd

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2023-01-01 DOI:10.2206/kyushujm.77.271

Masaoki MORI

{"title":"高维局部场上GLd </i&gt","authors":"Masaoki MORI","doi":"10.2206/kyushujm.77.271","DOIUrl":null,"url":null,"abstract":"The aims of this paper are expansions of the measure theory in Fesenko (Amer. Math. Soc, Transl. Ser. 2 219 (2006)) and Waller (New York J. Math. 25 (2019), 396-442). We define countably additive translation-invariant measures and integrals on product spaces of F and of GLd(F), and on a parabolic subgroup of GLd(F). Moreover, we will prove that measurable functions on these product spaces are repeatedly integrable.","PeriodicalId":49929,"journal":{"name":"Kyushu Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"MEASURE THEORY ON GLd OVER A HIGHER-DIMENSIONAL LOCAL FIELD\",\"authors\":\"Masaoki MORI\",\"doi\":\"10.2206/kyushujm.77.271\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The aims of this paper are expansions of the measure theory in Fesenko (Amer. Math. Soc, Transl. Ser. 2 219 (2006)) and Waller (New York J. Math. 25 (2019), 396-442). We define countably additive translation-invariant measures and integrals on product spaces of F and of GLd(F), and on a parabolic subgroup of GLd(F). Moreover, we will prove that measurable functions on these product spaces are repeatedly integrable.\",\"PeriodicalId\":49929,\"journal\":{\"name\":\"Kyushu Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kyushu Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2206/kyushujm.77.271\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kyushu Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2206/kyushujm.77.271","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文的目的是对Fesenko (Amer)的测量理论进行扩展。数学。Soc, Transl。Ser. 2 219(2006))和Waller (New York J. Math. 25(2019)， 396-442)。定义了F和GLd(F)的积空间以及GLd(F)的抛物子群上的可数可加平移不变测度和积分。此外，我们将证明这些积空间上的可测函数是重复可积的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

MEASURE THEORY ON GLd OVER A HIGHER-DIMENSIONAL LOCAL FIELD

The aims of this paper are expansions of the measure theory in Fesenko (Amer. Math. Soc, Transl. Ser. 2 219 (2006)) and Waller (New York J. Math. 25 (2019), 396-442). We define countably additive translation-invariant measures and integrals on product spaces of F and of GLd(F), and on a parabolic subgroup of GLd(F). Moreover, we will prove that measurable functions on these product spaces are repeatedly integrable.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.

高维局部场上GL<i><sub>d </sub></i>

摘要