{"title":"Sur la theorie de l'ergodicite.","authors":"Tokui Sato","doi":"10.4099/JJM1924.29.0_126","DOIUrl":"https://doi.org/10.4099/JJM1924.29.0_126","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"17 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":"128516620","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}
{"title":"On Dirichlet- and Neumann-problem with integrable boundary values","authors":"M. Tsuji","doi":"10.4099/JJM1924.23.0_15","DOIUrl":"https://doi.org/10.4099/JJM1924.23.0_15","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"83 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":"128239522","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}
{"title":"Geometrische Untersuchungen zur Variationsrechnung","authors":"Sôji Nakajima","doi":"10.4099/JJM1924.3.0_61","DOIUrl":"https://doi.org/10.4099/JJM1924.3.0_61","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"54 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":"128278567","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}
{"title":"On the Theory of Surfaces in the Affine Space: I. Affine Moulding Surfaces and Affine Surfaces of Revolution","authors":"B. Su","doi":"10.4099/JJM1924.5.0_185","DOIUrl":"https://doi.org/10.4099/JJM1924.5.0_185","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"71 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":"127277122","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}
{"title":"A Note on the Projective Differential Geometry of a Surface","authors":"B. Su","doi":"10.4099/JJM1924.7.0_199","DOIUrl":"https://doi.org/10.4099/JJM1924.7.0_199","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"8 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":"127502511","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}
{"title":"On the integral representation of Herglotz and the trigonometric moment problem","authors":"Yūsaku Komatu","doi":"10.4099/JJM1924.29.0_35","DOIUrl":"https://doi.org/10.4099/JJM1924.29.0_35","url":null,"abstract":"We may further suppose that ƒÏ(ƒÕ)-Rƒ3(0)ƒÕ/2ƒÎ is continued periodically beyond its original interval of definition with the period 2ƒÎ. In studying several problems on the class, it has been indicated that this re presentation formula often offers a powerful tool; cf., for instance, [8]. For the sake of later reference, we reproduce here the outline of its derivation. Applying first the Poisson integral representation to a function ƒ3(z)• ̧_??_ regular for |z|•...r<1, we get","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":"122337845","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}
{"title":"Identity of modern and classical solutions for the Dirichlet problem","authors":"Kiyoshi Akô","doi":"10.4099/JJM1924.36.0_1","DOIUrl":"https://doi.org/10.4099/JJM1924.36.0_1","url":null,"abstract":"","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":"130527571","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}
{"title":"An Elementary Proof of the Grace's Theorem on Double Sixers","authors":"A. Ichida","doi":"10.4099/JJM1924.9.0_63","DOIUrl":"https://doi.org/10.4099/JJM1924.9.0_63","url":null,"abstract":"","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"18 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":"132048142","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}
{"title":"On discontinuous additive functionals and Lévy measures of a Markov process","authors":"Shinzo Watanabe","doi":"10.4099/JJM1924.34.0_53","DOIUrl":"https://doi.org/10.4099/JJM1924.34.0_53","url":null,"abstract":"Introduction.1) In M. Motoo-S. Watanabe [5] we have investigated the class m of square-integrable additive functionals which are martingales. The first purpose of this paper is to determine the structure of the subspace md which is defined as the orthogonal complement of the space mc formed of all continuous elements of m. As a corollary we can obtain the general form of the quasi-left continuous purely discontinuous additive functionals which was first obtained by M. Motoo.2) At the same time we see that we can give a definition of the Levy measure by means of these additive functionals and we shall discuss some properties of it. The author wishes to express his hearty thanks to Prof. M. Motoo for his kind encouragement and valuable suggestions.","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":"127836731","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}