Kodai Mathematical Seminar Reports最新文献

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On the group of formal analytic transformations 关于形式解析变换的群
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138833913
Morikuni Gotô
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引用次数: 8
Some gap theorems 一些间隙定理
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138833537
T. Kawata, M. Udagawa
{"title":"Some gap theorems","authors":"T. Kawata, M. Udagawa","doi":"10.2996/KMJ/1138833537","DOIUrl":"https://doi.org/10.2996/KMJ/1138833537","url":null,"abstract":"","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"153 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":"124281826","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 gap series 关于间隙系列
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138833878
T. Kawata
{"title":"On gap series","authors":"T. Kawata","doi":"10.2996/KMJ/1138833878","DOIUrl":"https://doi.org/10.2996/KMJ/1138833878","url":null,"abstract":"","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"21 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":"116859717","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: 5
On (f, g, u(k), α(k))-structures 在(f, g, u(k), α(k))-结构上
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138846998
U. Ki, J. Pak, Hyun Bae Suh
{"title":"On (f, g, u(k), α(k))-structures","authors":"U. Ki, J. Pak, Hyun Bae Suh","doi":"10.2996/KMJ/1138846998","DOIUrl":"https://doi.org/10.2996/KMJ/1138846998","url":null,"abstract":"","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"214 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":"117352444","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: 5
Two remarks on my paper ``A note on the maximal ideals of analytic functions'' 关于我的论文《解析函数的极大理想注释》的两点评论
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138843300
S. Hitotumatu
{"title":"Two remarks on my paper ``A note on the maximal ideals of analytic functions''","authors":"S. Hitotumatu","doi":"10.2996/KMJ/1138843300","DOIUrl":"https://doi.org/10.2996/KMJ/1138843300","url":null,"abstract":"","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"10 2-3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120989849","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 relative stability of sums of positive random variables 正随机变量和的相对稳定性
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138833988
T. Kawata
{"title":"On the relative stability of sums of positive random variables","authors":"T. Kawata","doi":"10.2996/KMJ/1138833988","DOIUrl":"https://doi.org/10.2996/KMJ/1138833988","url":null,"abstract":"","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"11 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":"121084060","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 lacunary non-harmonic trigonometric series 关于非调和三角级数
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138833877
M. Udagawa
{"title":"On lacunary non-harmonic trigonometric series","authors":"M. Udagawa","doi":"10.2996/KMJ/1138833877","DOIUrl":"https://doi.org/10.2996/KMJ/1138833877","url":null,"abstract":"","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"266 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":"121317468","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 coefficients of typically-real Laurent series 关于典型实数洛朗级数的系数
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138843862
Yūsaku Komatu
{"title":"On the coefficients of typically-real Laurent series","authors":"Yūsaku Komatu","doi":"10.2996/KMJ/1138843862","DOIUrl":"https://doi.org/10.2996/KMJ/1138843862","url":null,"abstract":"Hence, in order that we may conclude the sharpness of the estimation for 0n only in the sense stated in the theorem, any non-negative quantity vanishing together with al — #~ιp~ 2 might be added to the bound. This circumstance will suggest conversely a possibility that a better estimate can be obtained by subtracting such a quantity. On the other hand, as the authors also have remarked, the theorem remains","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","volume":"11 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":"127186516","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: 4
The spherical derivative of regular and meromorphic functions of bounded characteristic 有界特征正则函数和亚纯函数的球面导数
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138845497
M. Tsuzuki
{"title":"The spherical derivative of regular and meromorphic functions of bounded characteristic","authors":"M. Tsuzuki","doi":"10.2996/KMJ/1138845497","DOIUrl":"https://doi.org/10.2996/KMJ/1138845497","url":null,"abstract":"","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","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":"124806783","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
Some characterizations of Stein manifold through the notion of locally regular boundary points 利用局部正则边界点的概念刻画Stein流形
Kodai Mathematical Seminar Reports Pub Date : 1900-01-01 DOI: 10.2996/KMJ/1138844946
J. Kajiwara
{"title":"Some characterizations of Stein manifold through the notion of locally regular boundary points","authors":"J. Kajiwara","doi":"10.2996/KMJ/1138844946","DOIUrl":"https://doi.org/10.2996/KMJ/1138844946","url":null,"abstract":"The main purpose of the present paper is to investigate the intersection of a Cousin-I domain and a domain of holomorphy. Oka [14] proved that a domain of holomorphy in O is a Cousin-l domain, that is, a domain in which any additive Cousin's distribution has a solution. On the other hand, a Cousin-I domain in C is a domain of holomorphy from Cartan [5] and Behnke-Stein [2]. Therefore a domain in C is a Cousin-I domain if and only if it is a domain of holomorphy. Cartan [6] proved that E={(zlf z2, z3); M < 1 , | * 2 | < 1 , N < l } { ( 0 , 0, 0)} is not a domain of holomorphy but a Cousin-I domain. For any domain of holomorphy D in C, EπD is a Cousin-I open set. Making use of the results of Scheja [16] and Andreotti-Grauert [1] concerning the prolongation of cohomology classes, we can construct systematically other Cousin-I domains in O which are not domains of holomorphy for n^3. For G={(zu z2, zs); N < 1 , | z 2 |< l , z3<l} — {(zh z2, zB); Zί=z2 =0, |*8 |^l/2}, there holds HG, ©)=0 from Scheja [16] where O is the sheaf of all germs of holomorphic functions. Therefore G is not a domain of holomorphy but a Cousin-I domain. But G has a different property from E. The intersection G(]Z=[{(zuZ2); M < l / 2 , |*2 |<l/2}-{(0,0)}]x {s8; N < l / 2 } of G and a tridisc Z={(zltz2fZs);z1<l/2ίzi<l/2tZfi<lJ2} is not a Cousin-I domain as the first component of the above direct product is not a Cousin-I domain from the results of Cartan [5] and Behnke-Stein [2]. A domain in O, which is a direct product KλxK2x ••• xKn of relatively compact subdomains Kx of a complex plane, is called a polycylinder hereafter. An open set G in O is called regular if G n (id x ϋf2 x x ϋΓw) is a Cousin-I open set for any polycylinder K1xK2X'--xKn in O . From the previous paper [12] of the author G is a Cousin-I open set. Cartan's example E is a regular domain in C but the above example G is not a regular domain. We say that a domain G in C is exhausted by regular domains if t h e r e ex i s t s a sequence {Gp; p=l,2,3,~ } of regular domains GP such that Gp^Gp+i(p=l92,3, •••) and G=U%=iGP. From the previous paper [12] of the author G is a Cousin-I domain as it is a limit of mono-","PeriodicalId":318148,"journal":{"name":"Kodai Mathematical Seminar Reports","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":"124870174","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
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