关于拉普拉斯可变换分布的空间。

IF 1.8 2区数学 Q1 MATHEMATICS Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas Pub Date : 2020-01-01 Epub Date: 2020-08-12 DOI:10.1007/s13398-020-00907-2

Andreas Debrouwere, Eduard A Nigsch

{"title":"关于拉普拉斯可变换分布的空间。","authors":"Andreas Debrouwere, Eduard A Nigsch","doi":"10.1007/s13398-020-00907-2","DOIUrl":null,"url":null,"abstract":"We show that the space <math> <mrow> <msup><mrow><mi>S</mi></mrow> <mo>'</mo></msup> <mrow><mo>(</mo> <mi>Γ</mi> <mo>)</mo></mrow> </mrow> </math> of Laplace transformable distributions, where <math><mrow><mi>Γ</mi> <mo>⊆</mo> <msup><mrow><mi>R</mi></mrow> <mi>d</mi></msup> </mrow> </math> is a non-empty convex open set, is an ultrabornological (PLS)-space. Moreover, we determine an explicit topological predual of <math> <mrow> <msup><mrow><mi>S</mi></mrow> <mo>'</mo></msup> <mrow><mo>(</mo> <mi>Γ</mi> <mo>)</mo></mrow> </mrow> </math> .","PeriodicalId":54471,"journal":{"name":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","volume":"114 4","pages":"185"},"PeriodicalIF":1.8000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7446279/pdf/","citationCount":"0","resultStr":"{\"title\":\"On the space of Laplace transformable distributions.\",\"authors\":\"Andreas Debrouwere, Eduard A Nigsch\",\"doi\":\"10.1007/s13398-020-00907-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the space <math> <mrow> <msup><mrow><mi>S</mi></mrow> <mo>'</mo></msup> <mrow><mo>(</mo> <mi>Γ</mi> <mo>)</mo></mrow> </mrow> </math> of Laplace transformable distributions, where <math><mrow><mi>Γ</mi> <mo>⊆</mo> <msup><mrow><mi>R</mi></mrow> <mi>d</mi></msup> </mrow> </math> is a non-empty convex open set, is an ultrabornological (PLS)-space. Moreover, we determine an explicit topological predual of <math> <mrow> <msup><mrow><mi>S</mi></mrow> <mo>'</mo></msup> <mrow><mo>(</mo> <mi>Γ</mi> <mo>)</mo></mrow> </mrow> </math> .\",\"PeriodicalId\":54471,\"journal\":{\"name\":\"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas\",\"volume\":\"114 4\",\"pages\":\"185\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7446279/pdf/\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s13398-020-00907-2\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2020/8/12 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s13398-020-00907-2","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2020/8/12 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

我们证明可拉普拉斯变换分布的空间 S ' ( Γ ) 是一个超角（PLS）空间，其中 Γ ⊆ R d 是一个非空的凸开集。此外，我们还确定了 S ' ( Γ ) 的明确拓扑前元。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

On the space of Laplace transformable distributions.

We show that the space $S^{'} (Γ)$ of Laplace transformable distributions, where $Γ \subseteq R^{d}$ is a non-empty convex open set, is an ultrabornological (PLS)-space. Moreover, we determine an explicit topological predual of $S^{'} (Γ)$ .

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

Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas 数学-数学

CiteScore

4.70

自引率

17.20%

发文量

151

审稿时长

>12 weeks

期刊介绍： The journal publishes, in English language only, high-quality Research Articles covering Algebra; Applied Mathematics; Computational Sciences; Geometry and Topology; Mathematical Analysis; Statistics and Operations Research. Also featured are Survey Articles in every mathematical field.

期刊最新文献

Supercongruences involving Domb numbers and binary quadratic forms. Absolutely closed semigroups. Homogeneous isosceles-free spaces. Three families of q-supercongruences modulo the square and cube of a cyclotomic polynomial. Richards's curve induced Banach space valued ordinary and fractional neural network approximation.