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Japanese journal of mathematics :transactions and abstracts最新文献

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On the harmonic boundary of an open Riemann surface, I 在开放黎曼曲面的调和边界上，I
Japanese journal of mathematics :transactions and abstracts Pub Date : 1960-11-01 DOI: 10.4099/JJM1924.29.0_52
Yukio Kusunoki, Shin’ichi Mori
{"title":"On the harmonic boundary of an open Riemann surface, I","authors":"Yukio Kusunoki, Shin’ichi Mori","doi":"10.4099/JJM1924.29.0_52","DOIUrl":"https://doi.org/10.4099/JJM1924.29.0_52","url":null,"abstract":"Every open Riemann surface R can be represented as a dense subset of a compact Hausdorff space R* considered by Gelfand and Royden (cf. [3], [4], [10]). The ideal boundary of R is then realized as a closed non-dense subset ƒ¡ of R*, which is, by definition, the set of maximal ideals containing the ideal K of BD functions with compact carriers. The set ‡TM of maximal ideals containing K (closure of K by BD-topology) constitutes an essential part of ƒ¡ and is called the harmonic boundary of R. In this article we shall study some properties on harmonic boundaries and non compact subregions on R. By a non-compact subregion G on R we shall understand in the sequel a non-compact domain on R whose relative boundary •ÝG consists of an at most countable number of disjoint analytic Jordan curves not accumulating to any point of R.","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1960-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132460363","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 18
On the number of prime factors of integers III 论整数素数因子的个数
Japanese journal of mathematics :transactions and abstracts Pub Date : 1957-04-01 DOI: 10.4099/JJM1924.27.0_103
Minoru Tanaka
{"title":"On the number of prime factors of integers III","authors":"Minoru Tanaka","doi":"10.4099/JJM1924.27.0_103","DOIUrl":"https://doi.org/10.4099/JJM1924.27.0_103","url":null,"abstract":"In our papers I, II, and III,1) we were concerned with the number of dis tinct prime factors of integers. In this paper, we shall deal with the number of prime factors of integers, multiple factors being counted multiply, and the number of divisors of integers, or more generally, the number of representations of integers as a product of a fixed number of integers. The object of this paper is to prove the following theorems: THEOREM A1. Let k be a positive integer. Let {f1(ƒÌ),•c, fl(ƒÌ)} be a set of polynomials in ƒÌ, and {_??_1,•c,_??_k} a family of sets of rational prime numbers. Suppose that the following conditions are satisfied: (C1) For each i=1,•c,k, the polynomial fi(ƒÌ) is of positive degree with integral coefficients and with positive leading coefficient; (C2) For each pair of integers i, j with 1•...i<j•...k, at least one o the two requirements (fi, fj)=1 and _??_i•¿_??_j=_??_ holds; (C3) If we denote, for each i=1,•c, k, by ƒÒi(p) the number of incongruent solutions of the congruence fi(ƒÌ)•ß0 (mod p), then the series","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1957-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125827011","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On locally compact fields 关于局部紧化域
Japanese journal of mathematics :transactions and abstracts Pub Date : 1945-03-28 DOI: 10.4099/JJM1924.19.2_189
Yosikazu Otobe
{"title":"On locally compact fields","authors":"Yosikazu Otobe","doi":"10.4099/JJM1924.19.2_189","DOIUrl":"https://doi.org/10.4099/JJM1924.19.2_189","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1945-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125271542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
On Hausdorff's measures and generalized capacities with some of their applications to the theory of functions 豪斯多夫测度和广义能力及其在函数理论中的一些应用
Japanese journal of mathematics :transactions and abstracts Pub Date : 1945-03-28 DOI: 10.4099/JJM1924.19.2_217
S. Kametani
{"title":"On Hausdorff's measures and generalized capacities with some of their applications to the theory of functions","authors":"S. Kametani","doi":"10.4099/JJM1924.19.2_217","DOIUrl":"https://doi.org/10.4099/JJM1924.19.2_217","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"37 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1945-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121009101","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 25
Darstellungen der in einem Kreisringe analytischen Funktionen nebst den Anwendungen auf konforme Abbildung über Polygonalringgebiete 环形路由分析功能所提供的图像，以及应用于波求线圈的裹踪图
Japanese journal of mathematics :transactions and abstracts Pub Date : 1945-03-28 DOI: 10.4099/JJM1924.19.2_203
Y. Komatu
{"title":"Darstellungen der in einem Kreisringe analytischen Funktionen nebst den Anwendungen auf konforme Abbildung über Polygonalringgebiete","authors":"Y. Komatu","doi":"10.4099/JJM1924.19.2_203","DOIUrl":"https://doi.org/10.4099/JJM1924.19.2_203","url":null,"abstract":"1. Vallat-Stieltjessche Darstellung. Ich habe letztens in einer Note(1) Darstel,lungen der im Einheitskreise analytischen Funktionen and einige damit verwandten Probleme behandelt. Daran anschlieBend and um emn dort gegebenes Versprechen zu erfullen, soil i ch im f olgenden die entsprechenden Auf gaben fur den Fall der zweifach zusammenhangenden mit zwel einander punktfremden Konti nuen als Randkomponenten versehenen Gebiete untersuchen, wobei also emn konzentrischer Kreisring q<z<1 als Grundgebiet aufgenommen werden mag. Eine in diesem Kreisringe regular analytische Funktion t0(z), deren reeller Teil_??_hP(z) die Losung des Dirichletschen Problems mit den Randwerten","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1945-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126860840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 30
Schwarz's lemma in a homogeneous space of higher dimensions 高维齐次空间中的Schwarz引理
Japanese journal of mathematics :transactions and abstracts Pub Date : 1944-10-28 DOI: 10.4099/JJM1924.19.1_45
Kiiti Morita
{"title":"Schwarz's lemma in a homogeneous space of higher dimensions","authors":"Kiiti Morita","doi":"10.4099/JJM1924.19.1_45","DOIUrl":"https://doi.org/10.4099/JJM1924.19.1_45","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1944-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134290908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 21
Über ein bewertungstheoretisches Axiomensystem für die Dedekind-Noethersche Idealtheorie 关于对德·沃德诺德·诺德完美理论的评级理论系统
Japanese journal of mathematics :transactions and abstracts Pub Date : 1944-10-28 DOI: 10.4099/JJM1924.19.1_97
Kameo Matusita
{"title":"Über ein bewertungstheoretisches Axiomensystem für die Dedekind-Noethersche Idealtheorie","authors":"Kameo Matusita","doi":"10.4099/JJM1924.19.1_97","DOIUrl":"https://doi.org/10.4099/JJM1924.19.1_97","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1944-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124569262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Über die Existenz der invarianten Integrale 关于生存的那个术语
Japanese journal of mathematics :transactions and abstracts Pub Date : 1944-10-28 DOI: 10.4099/JJM1924.19.1_81
Yukiyosi Kawada
{"title":"Über die Existenz der invarianten Integrale","authors":"Yukiyosi Kawada","doi":"10.4099/JJM1924.19.1_81","DOIUrl":"https://doi.org/10.4099/JJM1924.19.1_81","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1944-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114880239","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Bemerkungen zur vorangehenden Arbeit von Herrn T. Iwamura 岩村先生先进作品的评论
Japanese journal of mathematics :transactions and abstracts Pub Date : 1944-10-28 DOI: 10.4099/JJM1924.19.1_73
Yukiyosi Kawada, Kaneo Higuti, Yatarô Matusima
{"title":"Bemerkungen zur vorangehenden Arbeit von Herrn T. Iwamura","authors":"Yukiyosi Kawada, Kaneo Higuti, Yatarô Matusima","doi":"10.4099/JJM1924.19.1_73","DOIUrl":"https://doi.org/10.4099/JJM1924.19.1_73","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"184 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1944-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134330875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
On the double sequences of linear transformations on normed linear separable spaces 赋范线性可分空间上线性变换的二重序列
Japanese journal of mathematics :transactions and abstracts Pub Date : 1944-10-28 DOI: 10.4099/JJM1924.19.1_27
S. Hanai
{"title":"On the double sequences of linear transformations on normed linear separable spaces","authors":"S. Hanai","doi":"10.4099/JJM1924.19.1_27","DOIUrl":"https://doi.org/10.4099/JJM1924.19.1_27","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1944-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124423193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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