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Taiwanese Journal of Mathematics最新文献

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Mean Values of Derivatives of $L$-functions for Cyclotomic Characters in Function Fields 函数场中环切特征的L函数导数的均值
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220701
Jungyun Lee, Yoonjin Lee
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引用次数: 0
Canonical Comultiplication and Double Centraliser Property 正则乘法与双中心器性质
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220903
Nan Gao, Jing Ma, Juxia Zhang
{"title":"Canonical Comultiplication and Double Centraliser Property","authors":"Nan Gao, Jing Ma, Juxia Zhang","doi":"10.11650/tjm/220903","DOIUrl":"https://doi.org/10.11650/tjm/220903","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47802372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized Fractional Integral Operators Based on Symmetric Markovian Semigroups with Application to the Heisenberg Group 基于对称马尔可夫半群的广义分数积分算子及其在Heisenberg群中的应用
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220904
Kohei Amagai, E. Nakai, Gaku Sadasue
{"title":"Generalized Fractional Integral Operators Based on Symmetric Markovian Semigroups with Application to the Heisenberg Group","authors":"Kohei Amagai, E. Nakai, Gaku Sadasue","doi":"10.11650/tjm/220904","DOIUrl":"https://doi.org/10.11650/tjm/220904","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45500121","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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 Reconstruction of Convection Coefficient in a Semilinear Anomalous Diffusion System 半线性异常扩散系统对流系数的重建
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220301
Liangliang Sun, Maoli Chang
{"title":"On the Reconstruction of Convection Coefficient in a Semilinear Anomalous Diffusion System","authors":"Liangliang Sun, Maoli Chang","doi":"10.11650/tjm/220301","DOIUrl":"https://doi.org/10.11650/tjm/220301","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46060855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Novel Results on Persistence and Attractivity of Delayed Nicholson's Blowflies System with Patch Structure 具有斑块结构的延迟尼克尔森苍蝇系统的持久性和吸引力的新结果
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.11650/tjm/220803
Weiping Fan, Jian Zhang
{"title":"Novel Results on Persistence and Attractivity of Delayed Nicholson's Blowflies System with Patch Structure","authors":"Weiping Fan, Jian Zhang","doi":"10.11650/tjm/220803","DOIUrl":"https://doi.org/10.11650/tjm/220803","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42385018","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Directional Differentiability, Coexhausters, Codifferentials and Polyhedral DC Functions 方向可微性，协微分，协微分和多面体DC函数
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2021-11-25 DOI: 10.11650/tjm/221201
M. Abbasov
{"title":"Directional Differentiability, Coexhausters, Codifferentials and Polyhedral DC Functions","authors":"M. Abbasov","doi":"10.11650/tjm/221201","DOIUrl":"https://doi.org/10.11650/tjm/221201","url":null,"abstract":"Codifferentials and coexhausters are used to describe nonhomogeneous approximations of a nonsmooth function. Despite the fact that coexhausters are modern generalizations of codifferentials, the theories of these two concepts continue to develop simultaneously. Moreover, codifferentials and coexhausters are strongly connected with DC functions. In this paper we trace analogies between all these objects, and prove the equivalence of the boundedness and optimality conditions described in terms of these notions. This allows one to extend the results derived in terms of one object to the problems stated via the other one. Another contribution of this paper is the study of connection between nonhomogeneous approximations and directional derivatives and formulate optimality conditions in terms of nonhomogeneous approximations. Introduction Among the variety of approaches of nonsmooth analysis [1] the method of quasidifferential stands out due to its constructiveness. One important advantage of this approach is that all the tools and methods can be built and used not only theoretically but also in practical problems. The approach goes back to the early 80-th when Demyanov, Rubinov and Polyakova proposed and studied the notion of quasidifferentials [2–5]. Quasidifferentials are pairs of convex compact sets that enable one to represent the directional derivative of a function at a point in a form of sum of maximum and minimum of a linear functions. Quasidifferentials enjoy full calculus, that grants the calculation of quasidifferentials for a rich variety of functions. Such functions are also called quasidifferentiable. Polyakova and Demyanov derived optimality conditions in terms of these objects and also showed how to find the directions of steepest descent and ascent when these conditions are not satisfied. This paved a way for constructing new","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48270162","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
$p$-adic Properties for Taylor Coefficients of Half-integral Weight Modular Forms on $Gamma_1(4)$ $Gamma_1(4)$上半积分权模形式泰勒系数的$p$-adic性质
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2021-09-17 DOI: 10.11650/tjm/220802
Jigu Kim, Yoonjin Lee
{"title":"$p$-adic Properties for Taylor Coefficients of Half-integral Weight Modular Forms on $Gamma_1(4)$","authors":"Jigu Kim, Yoonjin Lee","doi":"10.11650/tjm/220802","DOIUrl":"https://doi.org/10.11650/tjm/220802","url":null,"abstract":". For a prime p ≡ 3 (mod 4) and m ≥ 2, Romik raised a question about whether the Taylor coefficients around √− 1 of the classical Jacobi theta function θ 3 eventually vanish modulo p m . This question can be extended to a class of modular forms of half-integral weight on Γ 1 (4) and CM points; in this paper, we prove an affirmative answer to it for primes p ≥ 5. Our result is also a generalization of the results of Larson and Smith for modular forms of integral weight on SL 2 ( Z ).","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47112368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Order Cancellation Law in a Semigroup of Closed Convex Sets 闭凸集半群中的阶消去律
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2021-09-03 DOI: 10.11650/tjm/220603
J. Grzybowski, H. Przybycień
{"title":"Order Cancellation Law in a Semigroup of Closed Convex Sets","authors":"J. Grzybowski, H. Przybycień","doi":"10.11650/tjm/220603","DOIUrl":"https://doi.org/10.11650/tjm/220603","url":null,"abstract":"In this paper generalize Robinson’s version of an order cancellation law for subsets of vector spaces in which we cancel by unbounded sets. We introduce the notion of weakly narrow sets in normed spaces, study their properties and prove the order cancellation law where the canceled set is weakly narrow. Also we prove the order cancellation law for closed convex subsets of topological vector space where the canceled set has bounded Hausdorff-like distance from its recession cone. We topologically embed the semigroup of closed convex sets sharing a recession cone having bounded Hausdorff-like distance from it into a topological vector space. This result extends Bielawski and Tabor’s generalization of R̊adström theorem. 2010 Mathematics Subject classification. 52A07, 18E20, 46A99.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44716331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Extension of a Depth Inequality of Auslander Auslander深度不等式的一个推广
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2021-08-18 DOI: 10.11650/tjm/220501
Olgur Celikbas, U. Le, H. Matsui
{"title":"An Extension of a Depth Inequality of Auslander","authors":"Olgur Celikbas, U. Le, H. Matsui","doi":"10.11650/tjm/220501","DOIUrl":"https://doi.org/10.11650/tjm/220501","url":null,"abstract":"In this paper, we consider a depth inequality of Auslander which holds for finitely generated Tor-rigid modules over commutative Noetherian local rings. We raise the question of whether such a depth inequality can be extended for $n$-Tor-rigid modules, and obtain an affirmative answer for 2-Tor-rigid modules that are generically free. Furthermore, in the appendix, we use Dao's eta function and determine new classes of Tor-rigid modules over hypersurfaces that are quotient of unramified regular local rings.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49092282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Generalized Integration Operators from Weak to Strong Spaces of Vector-valued Analytic Functions 向量值解析函数弱到强空间的广义积分算子
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2021-07-23 DOI: 10.11650/tjm/201208
Jiale Chen, Maofa Wang
{"title":"Generalized Integration Operators from Weak to Strong Spaces of Vector-valued Analytic Functions","authors":"Jiale Chen, Maofa Wang","doi":"10.11650/tjm/201208","DOIUrl":"https://doi.org/10.11650/tjm/201208","url":null,"abstract":"For a fixed nonnegative integer m, an analytic map φ and an analytic function ψ, the generalized integration operator I (m) φ,ψ is defined by I (m) φ,ψ f(z) = ∫ z","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64993527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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