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Japanese journal of mathematics :transactions and abstracts最新文献

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Ergodic theorems of Birkhoff-Khintchine's type Birkhoff-Khintchine型的遍历定理
Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.17.0_31
K. Yosida
{"title":"Ergodic theorems of Birkhoff-Khintchine's type","authors":"K. Yosida","doi":"10.4099/JJM1924.17.0_31","DOIUrl":"https://doi.org/10.4099/JJM1924.17.0_31","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123234375","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: 2
On the Orthogonal Functions and a New Formula of Interpolation 正交函数与插值新公式
Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.2.0_129
Satoru Takenaka
{"title":"On the Orthogonal Functions and a New Formula of Interpolation","authors":"Satoru Takenaka","doi":"10.4099/JJM1924.2.0_129","DOIUrl":"https://doi.org/10.4099/JJM1924.2.0_129","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126604643","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: 134
Eine symmetrische, metrische Übertragung im Kawaguchischen Raume der Ordnung zwei 只是一个比例而已
Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.15.0_129
Shisanji Hokari
{"title":"Eine symmetrische, metrische Übertragung im Kawaguchischen Raume der Ordnung zwei","authors":"Shisanji Hokari","doi":"10.4099/JJM1924.15.0_129","DOIUrl":"https://doi.org/10.4099/JJM1924.15.0_129","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115552900","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: 2
Note on meromorphic mappings 关于亚纯映射的说明
Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.29.0_13
Ryôsuke Iwahashi
{"title":"Note on meromorphic mappings","authors":"Ryôsuke Iwahashi","doi":"10.4099/JJM1924.29.0_13","DOIUrl":"https://doi.org/10.4099/JJM1924.29.0_13","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122596204","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
Lebesgue Integral in the Abstract Space 抽象空间中的勒贝格积分
Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/jjm1924.13.0_501
S. Izumi
{"title":"Lebesgue Integral in the Abstract Space","authors":"S. Izumi","doi":"10.4099/jjm1924.13.0_501","DOIUrl":"https://doi.org/10.4099/jjm1924.13.0_501","url":null,"abstract":"Frechet was the first to define the Lebesgue integral in the abstract space, as a generalization of the Radon(1) integral. Let f(x) be a real valued function defined in an abstract space X and let μ(E) be a completely additive set-function, defined for all sets E belonging to a completely additive system x consisting of subsets of X. The Frechet integral is the Lebesgue integral of such function f(x) concerning x and μ(E). Frechet defined the integral as the limit ot a certain Riemann sum. His idea was generalized by Kolmogoroff, Nikodym and Saks(2). On the other hand, there are many definitions of the Lebesgue integral of a real valued function of a real variable. Among them, the F. Ries(3) definition is one of the simplest. Therefore, it seems to be easy to trans form his method into the abstract space. The first object of this paper is to do this. We can define a Lebesgue integral concerning an additive system x (in the resricted sense) and the additive set-function μ(E) (in the restricted sense). The integral becomes equivalent to that of Nikodym and Saks when the system x becomes completely additive and μ(E) becomes a completely additive set-function, which is stated in the second part.","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"388 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114049844","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
On the Zero Points of Integral Transcendental Functions of Finite Genus 有限格的积分超越函数的零点
Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/jjm1924.1.0_27
M. Fujiwara
{"title":"On the Zero Points of Integral Transcendental Functions of Finite Genus","authors":"M. Fujiwara","doi":"10.4099/jjm1924.1.0_27","DOIUrl":"https://doi.org/10.4099/jjm1924.1.0_27","url":null,"abstract":"In the paper, \"Uber die algebraische Gleichung, deren Wurzeln in elnem Kreise oder in einer Halbebene liegen\", which will appear in Mathematischer Zeitschrift, I have solved the problems of iermite, Routh-Hurwt and Schur on algebraic equations by means of the method due to Lienard Chipart. In the following lines I will show that the same method is also applicable to the case of integral transcendental functions of finite genus. Let f(x)=‡”an xn, g(x)=‡”bn xn be two integral transcendental functions","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114301416","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
Notes on Some Points in the Theory of Continued Fractions 关于连分式理论中若干问题的说明
Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.1.0_17
K. Kurosu
{"title":"Notes on Some Points in the Theory of Continued Fractions","authors":"K. Kurosu","doi":"10.4099/JJM1924.1.0_17","DOIUrl":"https://doi.org/10.4099/JJM1924.1.0_17","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"164 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114407111","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: 1
On the Theory of Surfaces in the Affine Space: III. Transformations of Affine Moulding Surfaces 仿射空间中的曲面理论:3。仿射造型表面的变换
Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.5.0_269
B. Su
{"title":"On the Theory of Surfaces in the Affine Space: III. Transformations of Affine Moulding Surfaces","authors":"B. Su","doi":"10.4099/JJM1924.5.0_269","DOIUrl":"https://doi.org/10.4099/JJM1924.5.0_269","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122170919","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
Remarks on the Theory of Approximation of Irrational Numbers by Rational Numbers 关于有理数逼近无理数理论的评述
Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.1.0_15
M. Fujiwara
{"title":"Remarks on the Theory of Approximation of Irrational Numbers by Rational Numbers","authors":"M. Fujiwara","doi":"10.4099/JJM1924.1.0_15","DOIUrl":"https://doi.org/10.4099/JJM1924.1.0_15","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129625546","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
Sur le principe du maximum et le balayage 基于最大原理和扫描
Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.29.0_68
Nobuyuki Ninomiya
{"title":"Sur le principe du maximum et le balayage","authors":"Nobuyuki Ninomiya","doi":"10.4099/JJM1924.29.0_68","DOIUrl":"https://doi.org/10.4099/JJM1924.29.0_68","url":null,"abstract":"© Séminaire Brelot-Choquet-Deny. Théorie du potentiel (Secrétariat mathématique, Paris), 1958-1959, tous droits réservés. L’accès aux archives de la collection « Séminaire Brelot-Choquet-Deny. Théorie du potentiel » implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129942727","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: 1
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