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Tsukuba Journal of Mathematics最新文献

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Autonomous equations of Mahler type and transcendence 马勒型自治方程及其超越
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2016-03-01 DOI: 10.21099/tkbjm/1461270059
K. Nishioka, Seiji Nishioka
{"title":"Autonomous equations of Mahler type and transcendence","authors":"K. Nishioka, Seiji Nishioka","doi":"10.21099/tkbjm/1461270059","DOIUrl":"https://doi.org/10.21099/tkbjm/1461270059","url":null,"abstract":". In this paper, we study transcendence of values of Mahler functions satisfying first-order rational di¤erence equations of Mahler type with constant coe‰cients.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"39 1","pages":"251-257"},"PeriodicalIF":0.7,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831225","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
Partially ordered rings II 半序环II
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2016-03-01 DOI: 10.21099/TKBJM/1461270055
Y. Kitamura, Yoshio Tanaka
{"title":"Partially ordered rings II","authors":"Y. Kitamura, Yoshio Tanaka","doi":"10.21099/TKBJM/1461270055","DOIUrl":"https://doi.org/10.21099/TKBJM/1461270055","url":null,"abstract":". This paper is a continuation of [6]. We study partially ordered rings in terms of non-negative semi-cones and convex ideals, considering order-preserving homomorphisms, residue class rings, and certain product rings, etc.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"39 1","pages":"181-198"},"PeriodicalIF":0.7,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1461270055","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831094","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
Certain nonlinear differential polynomial sharing a nonzero polynomial IM 某非线性微分多项式共享一个非零多项式IM
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2016-03-01 DOI: 10.21099/TKBJM/1461270058
A. Banerjee, S. Majumder
{"title":"Certain nonlinear differential polynomial sharing a nonzero polynomial IM","authors":"A. Banerjee, S. Majumder","doi":"10.21099/TKBJM/1461270058","DOIUrl":"https://doi.org/10.21099/TKBJM/1461270058","url":null,"abstract":". We study the uniqueness of meromorphic functions when certain nonlinear di¤erential polynomial sharing a nonzero polynomial having common poles and thus radically improve and extend some recent results due to of Wang-Lu-Chen [17], Sahoo [16] and Liu and Yang [14].","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"39 1","pages":"221-250"},"PeriodicalIF":0.7,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1461270058","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831210","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
An asymptotic extension of Moran construction in metric measure spaces 度量度量空间中Moran构造的渐近推广
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2016-03-01 DOI: 10.21099/tkbjm/1461270054
Da Wu
{"title":"An asymptotic extension of Moran construction in metric measure spaces","authors":"Da Wu","doi":"10.21099/tkbjm/1461270054","DOIUrl":"https://doi.org/10.21099/tkbjm/1461270054","url":null,"abstract":". In this paper, we define asymptotically generalized Cantor sets in metric measure spaces by generalizing the notion of l -similarity maps. We define the notion of ð l ; c ; n Þ -similarity maps, and extend the Moran theorem about the generalized Cantor set in R d to this general setting. As an example, we construct generalized Cantor sets in Riemannian manifolds by using ð l ; c ; n Þ -similarity maps.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"39 1","pages":"167-179"},"PeriodicalIF":0.7,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/tkbjm/1461270054","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831031","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
Essential m-sectoriality and essential spectrum of the Schrödinger operators with rapidly oscillating complex-valued potentials 具有快速振荡复值势的Schrödinger算子的本质m-扇形和本质谱
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2016-03-01 DOI: 10.21099/TKBJM/1461270057
Y. Oshime
{"title":"Essential m-sectoriality and essential spectrum of the Schrödinger operators with rapidly oscillating complex-valued potentials","authors":"Y. Oshime","doi":"10.21099/TKBJM/1461270057","DOIUrl":"https://doi.org/10.21099/TKBJM/1461270057","url":null,"abstract":"Schrödinger operators T0 1⁄4 sþ qðxÞ with rapidly oscillating complex-valued potentials qðxÞ are considered. Each of such operators is sectorial and hence has Friedrichs extension. We prove that T0 is essentially m-sectorial in the sense that the closure of T0 coincides with its Friedrichs extension T . In particular, T0 is essentially self-adjoint if the rapidly oscillating potential qðxÞ is realvalued. Further, we prove sessðTÞ 1⁄4 1⁄20;yÞ under somewhat stricter condition on the potentials qðxÞ.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"17 1","pages":"207-220"},"PeriodicalIF":0.7,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1461270057","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831158","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 certain conformally invariant systems of differential equations II: Further study of type A systems 一类保形不变微分方程组II: A型方程组的进一步研究
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2015-07-01 DOI: 10.21099/TKBJM/1438951817
A. Kable
{"title":"On certain conformally invariant systems of differential equations II: Further study of type A systems","authors":"A. Kable","doi":"10.21099/TKBJM/1438951817","DOIUrl":"https://doi.org/10.21099/TKBJM/1438951817","url":null,"abstract":"Several systems of differential operators are constructed and their study is commenced. These systems are generalizations, in a reasonable sense, of the Heisenberg Laplacian operators introduced by Folland and Stein. In particular, they admit large groups of conformal symmetries; various real form of the special linear groups, even special orthogonal groups, and the exceptional group of type E6 appear in this capacity.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"39 1","pages":"39-81"},"PeriodicalIF":0.7,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831482","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
Generalized Fourier-Stieltjes algebra 广义Fourier-Stieltjes代数
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2015-07-01 DOI: 10.21099/TKBJM/1438951815
G. A. Bagheri-Bardi
{"title":"Generalized Fourier-Stieltjes algebra","authors":"G. A. Bagheri-Bardi","doi":"10.21099/TKBJM/1438951815","DOIUrl":"https://doi.org/10.21099/TKBJM/1438951815","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"39 1","pages":"15-28"},"PeriodicalIF":0.7,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1438951815","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831409","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
Structural properties of ideals over $mathscr P_{kappa}lambda$ I $mathscr P_{kappa}lambda$上理想的结构性质
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2015-07-01 DOI: 10.21099/TKBJM/1438951818
Y. Abe
{"title":"Structural properties of ideals over $mathscr P_{kappa}lambda$ I","authors":"Y. Abe","doi":"10.21099/TKBJM/1438951818","DOIUrl":"https://doi.org/10.21099/TKBJM/1438951818","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"39 1","pages":"83-95"},"PeriodicalIF":0.7,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831515","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 Cauchy problem for a class of hyperbolic operators whose coefficients depend only on the time variable 一类系数仅依赖于时间变量的双曲算子的Cauchy问题
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2015-07-01 DOI: 10.21099/TKBJM/1438951820
S. Wakabayashi
{"title":"On the Cauchy problem for a class of hyperbolic operators whose coefficients depend only on the time variable","authors":"S. Wakabayashi","doi":"10.21099/TKBJM/1438951820","DOIUrl":"https://doi.org/10.21099/TKBJM/1438951820","url":null,"abstract":"In this paper we investigate the Cauchy problem for hyperbolic operators with double characteristics and hyperbolic operators of third order whose coefficients depend only on the time variable. And we give sufficient conditions for C∞ well-posedness.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"39 1","pages":"121-163"},"PeriodicalIF":0.7,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1438951820","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831551","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
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":"39 1","pages":"97-119"},"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
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