Pub Date : 2016-03-01DOI: 10.21099/TKBJM/1461270056
E. Castañeda-Alvarado, J. Sánchez-Martínez
{"title":"Embedding products in symmetric products of continua","authors":"E. Castañeda-Alvarado, J. Sánchez-Martínez","doi":"10.21099/TKBJM/1461270056","DOIUrl":"https://doi.org/10.21099/TKBJM/1461270056","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1461270056","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831141","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}
Pub Date : 2016-03-01DOI: 10.21099/tkbjm/1461270059
K. Nishioka, Seiji Nishioka
. 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.
． 本文研究了满足一阶常值马勒型有理数差分方程的马勒函数值的超越性。
{"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":null,"pages":null},"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}
Pub Date : 2016-03-01DOI: 10.21099/TKBJM/1461270055
Y. Kitamura, Yoshio Tanaka
. 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.
{"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":null,"pages":null},"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}
Pub Date : 2016-03-01DOI: 10.21099/tkbjm/1461270054
Da Wu
. 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.
{"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":null,"pages":null},"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}
Pub Date : 2016-03-01DOI: 10.21099/TKBJM/1461270057
Y. Oshime
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.
{"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":null,"pages":null},"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}
Pub Date : 2016-03-01DOI: 10.21099/TKBJM/1461270058
A. Banerjee, S. Majumder
. 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].
。本文研究了一类非线性微分多项式共享一个具有公极的非零多项式时亚纯函数的唯一性，从而从根本上改进和推广了Wang-Lu-Chen[17]、Sahoo[16]和Liu and Yang[14]等人的一些最新结果。
{"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":null,"pages":null},"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}
Pub Date : 2015-07-01DOI: 10.21099/TKBJM/1438951817
A. Kable
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.
{"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":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":"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}
Pub Date : 2015-07-01DOI: 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":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/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}
Pub Date : 2015-07-01DOI: 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":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":"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}
Pub Date : 2015-07-01DOI: 10.21099/TKBJM/1438951820
S. Wakabayashi
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.
{"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":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/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}
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