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Tsukuba Journal of Mathematics最新文献

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A characterization of the tempered distributions supported by a regular closed set in the Heisenberg group Heisenberg群中正则闭集支持的缓变分布的表征
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2015-07-01 DOI: 10.21099/TKBJM/1438951819
Y. Oka
{"title":"A characterization of the tempered distributions supported by a regular closed set in the Heisenberg group","authors":"Y. Oka","doi":"10.21099/TKBJM/1438951819","DOIUrl":"https://doi.org/10.21099/TKBJM/1438951819","url":null,"abstract":". The aim of this paper is to give a characterization of the tempered distributions supported by a (Whitney’s) regular closed set in the Euclidean space and the Heisenberg group by means of the heat kernel method. The heat kernel method, introduced by T. Matsuzawa, is the method to characterize the generalized functions on the Euclidean space by the initial value of the solutions of the heat equation.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1438951819","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831525","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
The Baire property of certain hypo-graph spaces 某些伪图空间的Baire性质
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2015-07-01 DOI: 10.21099/TKBJM/1438951816
Katsuhisa Koshino
{"title":"The Baire property of certain hypo-graph spaces","authors":"Katsuhisa Koshino","doi":"10.21099/TKBJM/1438951816","DOIUrl":"https://doi.org/10.21099/TKBJM/1438951816","url":null,"abstract":"Let X be a compact metrizable space and Y be a nondegenerate dendrite with an end point 0. For each continuous function f : X ! Y , we define the hypo-graph # f 1⁄4 6 x AX fxg 1⁄20; f ðxÞ of f , where 1⁄20; f ðxÞ is the unique path from 0 to f ðxÞ in Y . Then we can regard #CðX ;Y Þ 1⁄4 f# f j f : X ! Y is continuousg as a subspace of the hyperspace consisting of non-empty closed sets in X Y equipped with the Vietoris topology. In this paper, we prove that #CðX ;Y Þ is a Baire space if and only if the set of isolated points of X is dense.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831461","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
Erratum to "Asymptotic dimension and boundary dimension of proper CAT(0) spaces" “固有CAT(0)空间的渐近维数和边界维数”的勘误
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2015-07-01 DOI: 10.21099/tkbjm/1438951821
Naotsugu Chinen, T. Hosaka
{"title":"Erratum to \"Asymptotic dimension and boundary dimension of proper CAT(0) spaces\"","authors":"Naotsugu Chinen, T. Hosaka","doi":"10.21099/tkbjm/1438951821","DOIUrl":"https://doi.org/10.21099/tkbjm/1438951821","url":null,"abstract":". The review on [1] in Mathematical Reviews points out that the proof of its main result is incorrect. The aim of this paper is to correct the previous paper’s argument and clarify the statement. In [2] it is stated that the proof of [1, Theorem 1.1] is incorrect, i.e., the map f does not satisfy ð(cid:1)Þ r , as claimed on line 4 of the first paragraph on [1, p. 188]. In fact, diam f ð B ð c i k ð x 0 Þ ; 1 ÞÞ ¼ diam a 1 ð B ð x 0 ; 1 ÞÞ 0 0 for each k A N . In this paper, we redefine the map f ¼ 6 k A N f k : ð Y ; r Þ ! ð B n þ 1 ; s Þ , in particular f k : c i k ð B ð x 0 ; k ÞÞ ! B n þ 1 , where let B ð x 0 ; r Þ ¼ f y A X : d ð x 0 ; y Þ a r g for r > 0. Let ð X ; d Þ be a proper CAT ð 0 Þ space and let c : ð X ; d Þ ! ð X ; d Þ be an isometry satisfying that f c i ð x Þ : i A Z g is unbounded (see [1, Theorem 1.1]). Fix a point x 0 of X . For every x A X , let x x : ½ 0 ; d ð x 0 ; x Þ(cid:2) ! X be the geodesic from x 0 to x in ð X ; d Þ . Recall the projection map p 1 : X ! B ð x 0 ; 1 Þ in [1, p. 187] defined by p 1 ð x Þ ¼ x x ð min f d ð x 0 ; x Þ ; 1 gÞ for each x A X .","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831565","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
Lie algebras associated with a standard quadruplet and prehomogeneous vector spaces 与标准四重态和预齐次向量空间相关的李代数
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2015-07-01 DOI: 10.21099/TKBJM/1438951814
Nagatoshi Sasano
{"title":"Lie algebras associated with a standard quadruplet and prehomogeneous vector spaces","authors":"Nagatoshi Sasano","doi":"10.21099/TKBJM/1438951814","DOIUrl":"https://doi.org/10.21099/TKBJM/1438951814","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831340","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
Evaluation of the dimension of the Q-vector space spanned by the special values of the Lerch function 由Lerch函数的特殊值张成的q向量空间的维数的评估
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2015-03-01 DOI: 10.21099/TKBJM/1429103719
M. Kawashima
{"title":"Evaluation of the dimension of the Q-vector space spanned by the special values of the Lerch function","authors":"M. Kawashima","doi":"10.21099/TKBJM/1429103719","DOIUrl":"https://doi.org/10.21099/TKBJM/1429103719","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2015-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67830120","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
A characterization of isoparametric hypersurfaces in a sphere with $gle 3$ 球面上等参超曲面的表征
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2015-03-01 DOI: 10.21099/TKBJM/1429103722
Setsuo Nagai
{"title":"A characterization of isoparametric hypersurfaces in a sphere with $gle 3$","authors":"Setsuo Nagai","doi":"10.21099/TKBJM/1429103722","DOIUrl":"https://doi.org/10.21099/TKBJM/1429103722","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2015-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1429103722","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831118","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
Distance between metric measure spaces and distance matrix distributions 度量空间之间的距离和距离矩阵分布
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2015-03-01 DOI: 10.21099/TKBJM/1429103718
Ryunosuke Ozawa
{"title":"Distance between metric measure spaces and distance matrix distributions","authors":"Ryunosuke Ozawa","doi":"10.21099/TKBJM/1429103718","DOIUrl":"https://doi.org/10.21099/TKBJM/1429103718","url":null,"abstract":". We study the Prohorov distance between the distance matrix distributions of two metric measure spaces. We prove that it is not smaller than 1-box distance between two metric measure spaces and also prove that it is not larger than 0-box distance between two metric measure spaces.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2015-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1429103718","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67830104","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
Refined version of Hasse's Satz 45 on class number parity Hasse关于类数奇偶校验的Satz 45的改进版本
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2015-03-01 DOI: 10.21099/TKBJM/1429103720
H. Ichimura
{"title":"Refined version of Hasse's Satz 45 on class number parity","authors":"H. Ichimura","doi":"10.21099/TKBJM/1429103720","DOIUrl":"https://doi.org/10.21099/TKBJM/1429103720","url":null,"abstract":"For an imaginary abelian field K , Hasse [3, Satz 45] obtained a criterion for the relative class number to be odd in terms of the narrow class number of the maximal real subfield Kþ and the prime numbers which ramify in K , by using the analytic class number formula. In [4], we gave a refined version (1⁄4 ‘‘D-decomposed version’’) of Satz 45 by an algebraic method. In this paper, we give one more algebraic proof of the refined version.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2015-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67830176","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
Corrigendum to "Periodicity and eigenvalues of matrices over quasi-max-plus algebras", Tsukuba J. Math., 37 (2013), pp. 51–71 “拟极大加代数上矩阵的周期性和特征值”的修正，Tsukuba J.数学。， 37(2013)，第51-71页
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2015-03-01 DOI: 10.21099/tkbjm/1429103725
H. Brunotte
{"title":"Corrigendum to \"Periodicity and eigenvalues of matrices over quasi-max-plus algebras\", Tsukuba J. Math., 37 (2013), pp. 51–71","authors":"H. Brunotte","doi":"10.21099/tkbjm/1429103725","DOIUrl":"https://doi.org/10.21099/tkbjm/1429103725","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2015-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831167","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
Goldie extending modules and generalizations of quasi-continuous modules Goldie扩展模与拟连续模的推广
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2014-07-01 DOI: 10.21099/TKBJM/1407938670
Y. Kuratomi
{"title":"Goldie extending modules and generalizations of quasi-continuous modules","authors":"Y. Kuratomi","doi":"10.21099/TKBJM/1407938670","DOIUrl":"https://doi.org/10.21099/TKBJM/1407938670","url":null,"abstract":"A module M is said to be quasi-continuous if it is extending with the condition ðC3Þ (cf. [7], [10]). In this paper, by using the notion of a G-extending module which is defined by E. Akalan, G. F. Birkenmeier and A. Tercan [1], we introduce a generalization of quasi-continuous ‘‘a GQC(generalized quasicontinuous)-module’’ and investigate some properties of GQCmodules. Initially we give some properties of a relative ejectivity which is useful in analyzing the structure of G-extending modules and GQC-modules (cf. [1]). And we apply them to the study of direct sums of GQC-modules. We also prove that any direct summand of a GQC-module with the finite internal exchange property is GQC. Moreover, we show that a module M is G-extending modules with ðC3Þ if and only if it is GQC-module with the finite internal exchange property.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2014-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1407938670","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67829222","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
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