{"title":"Some transformations on (LCS)n-manifolds","authors":"A. Shaikh, H. Ahmad","doi":"10.21099/TKBJM/1407938669","DOIUrl":"https://doi.org/10.21099/TKBJM/1407938669","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"38 1","pages":"1-24"},"PeriodicalIF":0.7,"publicationDate":"2014-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1407938669","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67829014","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 method for finding a minimal point of the lattice in cubic number fields (II)","authors":"K. Kaneko","doi":"10.21099/TKBJM/1407938674","DOIUrl":"https://doi.org/10.21099/TKBJM/1407938674","url":null,"abstract":"We give a method for finding a minimal point adjacent to 1 of the reduced lattice in cubic number fields using an isotropic vector of the quadratic form and two-dimensional lattice.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"38 1","pages":"227-237"},"PeriodicalIF":0.7,"publicationDate":"2014-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67830064","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 wavelet-Galerkin method with Deslauriers-Dubuc interpolating scaling functions","authors":"N. Fukuda","doi":"10.21099/TKBJM/1389972032","DOIUrl":"https://doi.org/10.21099/TKBJM/1389972032","url":null,"abstract":". Compactly supported orthonormal wavelets are often used in numerical analysis. However, since these functions have not an explicit formula in the time domain, the di‰culty of integrations often occurs. In this paper, we introduce the Galerkin method with Deslauriers–Dubuc interpolating scaling functions, and we use the biorthogonality of the wavelets to overcome the di‰culties of in-tegration. We present numerical results that show the e‰ciency and accuracy of this method.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"37 1","pages":"321-337"},"PeriodicalIF":0.7,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67828953","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":"Time decay estimates of solutions to the mixed problem for heat equations in a half space","authors":"A. Baba, K. Kajitani","doi":"10.21099/tkbjm/1389972030","DOIUrl":"https://doi.org/10.21099/tkbjm/1389972030","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"37 1","pages":"271-305"},"PeriodicalIF":0.7,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67828891","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":"Hochschild cohomology ring of the generalized quaternion algebras","authors":"Takao Hayami","doi":"10.21099/TKBJM/1373893403","DOIUrl":"https://doi.org/10.21099/TKBJM/1373893403","url":null,"abstract":". We will give an e‰cient bimodule projective resolution of the generalized quaternion Z algebra G . As a main result, we will determine the ring structure of the Hochschild cohomology HH (cid:1) ð G Þ by calculating the Yoneda products using this resolution.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"37 1","pages":"13-25"},"PeriodicalIF":0.7,"publicationDate":"2013-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67829193","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":"Interactive infinite Markov particle systems with jumps","authors":"Seiji Hiraba","doi":"10.21099/TKBJM/1373893404","DOIUrl":"https://doi.org/10.21099/TKBJM/1373893404","url":null,"abstract":"In [2] we investigated independent infinite Markov particle systems as measure-valued Markov processes with jumps, and we gave sample path properties and martingale characterizations. In particular, we investigated the exponent of Hölder-right continuity in case that the motion process is absorbing a-stable motion on ð0;yÞ with 0 < a < 2, that is, time-changed absorbing Brownian motions on ð0;yÞ by the increasing a=2-stable Lévy processes. In the present paper we shall extend the results to the case of simple interactive infinite Markov particle systems. We also consider the absorbing stable motion on a half space H 1⁄4 R 1 ð0;yÞ as a motion process. 1. Settings and Previous Results In this section we give the general settings and the known results which are given in [2] in order to describe the main results in § 3 and § 4. Let S be a domain of R . Let ðwðtÞ;PxÞtb0;x AS be a S-valued Markov process having life time zðwÞ A ð0;y such that w A Dð1⁄20; zðwÞÞ ! SÞ, i.e., w : 1⁄20; zðwÞÞ ! S is right continuous and has left-hand limits. For convenience, we fix an extra point D B S and set wðtÞ 1⁄4 D if tb zðwÞ. Moreover we shall extend functions f on S to on fDg by f ðDÞ 1⁄4 0, if necessary. We use the following notations: Let SHR be a domain. If x 1⁄4 ðx1; . . . ; xdÞ A R , then q i1 ik 1⁄4 q k=ðqxi1 qxik Þ, q i 1⁄4 q =ðqxk i Þ and qi 1⁄4 q i for each k 1⁄4 0; 1; . . . , i 1⁄4 1; . . . ; d. Moreover qt 1⁄4 q=qt for time tb 0. 2000 Mathematics Subject Classification: Primary 60G57; Secondary 60G75.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"37 1","pages":"27-50"},"PeriodicalIF":0.7,"publicationDate":"2013-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1373893404","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67829207","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":"Double points of the slowness surface of the system of crystal acoustics for tetragonal crystals","authors":"Claudio Melotti","doi":"10.21099/tkbjm/1373893408","DOIUrl":"https://doi.org/10.21099/tkbjm/1373893408","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"37 1","pages":"121-152"},"PeriodicalIF":0.7,"publicationDate":"2013-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/tkbjm/1373893408","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67829323","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 Fourier coefficients of Hilbert modular forms of half-integral weight over arbitrary algebraic number fields","authors":"H. Kojima","doi":"10.21099/TKBJM/1373893402","DOIUrl":"https://doi.org/10.21099/TKBJM/1373893402","url":null,"abstract":"We denote by Z, Q, R and C the ring of rational integers, the rational number field, the real number field and the complex number field, respectively. We write F for an algebraic number field, d for the different of F relative to Q, o for the integral ring of F . F has r1 real archimedian primes and r2 imaginary archimedian primes. σi : F → R (1 ≤ i ≤ r1) are the mutually distinct embeddings of F to R, and σr1+j : F → C (1 ≤ j ≤ r2) are the mutually distinct imaginary conjugate embeddings of F to C such that σr1+j 6= σr1+l, σr1+j 6= σr1+l (1 ≤ j, l ≤ r2, j 6= l), σr1+j 6= σr1+j (1 ≤ j ≤ r2) and σi 6= σr1+j (1 ≤ i ≤ r1, 1 ≤ j ≤ r2). For α ∈ F , we put α = σi(α) and α (r1+j) = σr1+j(α) (1 ≤ i ≤ r1, 1 ≤ j ≤ r2). Let H = R + Ri + Rj + Rk be the Hamilton quaternion algebra, H = {z = z + wj ∈ H|z ∈ C, w > 0}, H = {z = x + iy|x ∈ R, y > 0} and D = H1 × H2 .","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"29 1","pages":"1-11"},"PeriodicalIF":0.7,"publicationDate":"2013-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1373893402","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67829142","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":"The number of arrows in the quiver of tilting modules over a path algebra of Dynkin type","authors":"R. Kase","doi":"10.21099/TKBJM/1373893409","DOIUrl":"https://doi.org/10.21099/TKBJM/1373893409","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"37 1","pages":"153-177"},"PeriodicalIF":0.7,"publicationDate":"2013-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1373893409","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67829332","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}