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A reverse engineering approach to the Weil representation Weil表示的逆向工程方法
Central European Journal of Mathematics Pub Date : 2014-06-21 DOI: 10.2478/S11533-014-0428-8
A. Aubert, T. Przebinda
{"title":"A reverse engineering approach to the Weil representation","authors":"A. Aubert, T. Przebinda","doi":"10.2478/S11533-014-0428-8","DOIUrl":"https://doi.org/10.2478/S11533-014-0428-8","url":null,"abstract":"We describe a new approach to the Weil representation attached to a symplectic group over a finite or a local field. We dissect the representation into small pieces, study how they work, and put them back together. This way, we obtain a reversed construction of that of T. Thomas, skipping most of the literature on which the latter is based.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"63 1","pages":"1500-1585"},"PeriodicalIF":0.0,"publicationDate":"2014-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80122014","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: 25
Near viability for fully nonlinear differential inclusions 完全非线性微分包体的接近生存能力
Central European Journal of Mathematics Pub Date : 2014-06-21 DOI: 10.2478/s11533-014-0424-z
Irina Căpraru, A. Lazu
{"title":"Near viability for fully nonlinear differential inclusions","authors":"Irina Căpraru, A. Lazu","doi":"10.2478/s11533-014-0424-z","DOIUrl":"https://doi.org/10.2478/s11533-014-0424-z","url":null,"abstract":"We consider the nonlinear differential inclusion x′(t) ∈ Ax(t) + F(x(t)), where A is an m-dissipative operator on a separable Banach space X and F is a multi-function. We establish a viability result under Lipschitz hypothesis on F, that consists in proving the existence of solutions of the differential inclusion above, starting from a given set, which remain arbitrarily close to that set, if a tangency condition holds. To this end, we establish a kind of set-valued Gronwall’s lemma and a compactness theorem, which are extensions to the nonlinear case of similar results for semilinear differential inclusions. As an application, we give an approximate null controllability result.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"56 1","pages":"1447-1459"},"PeriodicalIF":0.0,"publicationDate":"2014-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77298367","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
The behavior of domain decomposition methods when the overlapping length is large 研究了重叠长度较大时区域分解方法的行为
Central European Journal of Mathematics Pub Date : 2014-06-21 DOI: 10.2478/s11533-014-0431-0
Minh-Binh Tran
{"title":"The behavior of domain decomposition methods when the overlapping length is large","authors":"Minh-Binh Tran","doi":"10.2478/s11533-014-0431-0","DOIUrl":"https://doi.org/10.2478/s11533-014-0431-0","url":null,"abstract":"In this paper, we introduce a new approach for the convergence problem of optimized Schwarz methods by studying a generalization of these methods for a semilinear elliptic equation. We study the behavior of the algorithm when the overlapping length is large.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"23 1","pages":"1602-1614"},"PeriodicalIF":0.0,"publicationDate":"2014-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74000568","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
Upper bounds for the moments of derivatives of Dirichlet L-functions 狄利克雷l函数导数的矩的上界
Central European Journal of Mathematics Pub Date : 2014-06-01 DOI: 10.2478/s11533-013-0382-x
Keiju Sono
{"title":"Upper bounds for the moments of derivatives of Dirichlet L-functions","authors":"Keiju Sono","doi":"10.2478/s11533-013-0382-x","DOIUrl":"https://doi.org/10.2478/s11533-013-0382-x","url":null,"abstract":"In this paper, we give certain upper bounds for the 2k-th moments, k ≥ 1/2, of derivatives of Dirichlet L-functions at s = 1/2 under the assumption of the Generalized Riemann Hypothesis.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"13 1","pages":"848-860"},"PeriodicalIF":0.0,"publicationDate":"2014-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78181345","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: 4
The subalgebra lattice of a finite algebra 有限代数的子代数格
Central European Journal of Mathematics Pub Date : 2014-05-10 DOI: 10.2478/s11533-013-0390-x
K. Pióro
{"title":"The subalgebra lattice of a finite algebra","authors":"K. Pióro","doi":"10.2478/s11533-013-0390-x","DOIUrl":"https://doi.org/10.2478/s11533-013-0390-x","url":null,"abstract":"The aim of this paper is to characterize pairs (L, A), where L is a finite lattice and A a finite algebra, such that the subalgebra lattice of A is isomorphic to L. Next, necessary and sufficient conditions are found for pairs of finite algebras (of possibly distinct types) to have isomorphic subalgebra lattices. Both of these characterizations are particularly simple in the case of distributive subalgebra lattices. We do not restrict our attention to total algebras only, but we consider the more general case of partial algebras. Moreover, we use connections between algebras and hypergraphs to solve these problems.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"8 1","pages":"1052-1108"},"PeriodicalIF":0.0,"publicationDate":"2014-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77943602","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
The closures of arithmetic progressions in the common division topology on the set of positive integers 正整数集合上公除法拓扑中等差数列的闭包
Central European Journal of Mathematics Pub Date : 2014-05-10 DOI: 10.2478/s11533-013-0394-6
P. Szczuka
{"title":"The closures of arithmetic progressions in the common division topology on the set of positive integers","authors":"P. Szczuka","doi":"10.2478/s11533-013-0394-6","DOIUrl":"https://doi.org/10.2478/s11533-013-0394-6","url":null,"abstract":"In this paper we characterize the closures of arithmetic progressions in the topology T on the set of positive integers with the base consisting of arithmetic progressions {an + b} such that if the prime number p is a factor of a, then it is also a factor of b. The topology T is called the common division topology.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"31 1","pages":"1008-1014"},"PeriodicalIF":0.0,"publicationDate":"2014-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73436962","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: 6
On effective determination of symmetric-square lifts 对称方升力的有效确定
Central European Journal of Mathematics Pub Date : 2014-05-10 DOI: 10.2478/s11533-014-0404-3
Qingfeng Sun
{"title":"On effective determination of symmetric-square lifts","authors":"Qingfeng Sun","doi":"10.2478/s11533-014-0404-3","DOIUrl":"https://doi.org/10.2478/s11533-014-0404-3","url":null,"abstract":"Let F be the symmetric-square lift with Laplace eigenvalue λF (Δ) = 1+4µ2. Suppose that |µ| ≤ Λ. We show that F is uniquely determined by the central values of Rankin-Selberg L-functions L(s, F ⋇ h), where h runs over the set of holomorphic Hecke eigen cusp forms of weight κ ≡ 0 (mod 4) with κ≍ϱ+ɛ, t9 = max {4(1+4θ)/(1−18θ), 8(2−9θ)/3(1−18θ)} for any 0 ≤ θ < 1/18 and any ∈ > 0. Here θ is the exponent towards the Ramanujan conjecture for GL2 Maass forms.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"106 1","pages":"976-990"},"PeriodicalIF":0.0,"publicationDate":"2014-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89819286","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: 4
Compact differences of composition operators on weighted Dirichlet spaces 加权Dirichlet空间上复合算子的紧致差分
Central European Journal of Mathematics Pub Date : 2014-05-10 DOI: 10.2478/s11533-013-0397-3
R. F. Allen, Katherine C. Heller, Matthew A. Pons
{"title":"Compact differences of composition operators on weighted Dirichlet spaces","authors":"R. F. Allen, Katherine C. Heller, Matthew A. Pons","doi":"10.2478/s11533-013-0397-3","DOIUrl":"https://doi.org/10.2478/s11533-013-0397-3","url":null,"abstract":"Here we consider when the difference of two composition operators is compact on the weighted Dirichlet spaces . Specifically we study differences of composition operators on the Dirichlet space and S2, the space of analytic functions whose first derivative is in H2, and then use Calderón’s complex interpolation to extend the results to the general weighted Dirichlet spaces. As a corollary we consider composition operators induced by linear fractional self-maps of the disk.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"39 1","pages":"1040-1051"},"PeriodicalIF":0.0,"publicationDate":"2014-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76827408","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: 9
A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient 用压力梯度表示Navier-Stokes方程的正则性准则
Central European Journal of Mathematics Pub Date : 2014-05-10 DOI: 10.2478/s11533-013-0395-5
Stefano Bosia, M. Conti, V. Pata
{"title":"A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient","authors":"Stefano Bosia, M. Conti, V. Pata","doi":"10.2478/s11533-013-0395-5","DOIUrl":"https://doi.org/10.2478/s11533-013-0395-5","url":null,"abstract":"The incompressible three-dimensional Navier-Stokes equations are considered. A new regularity criterion for weak solutions is established in terms of the pressure gradient.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"73 1","pages":"1015-1025"},"PeriodicalIF":0.0,"publicationDate":"2014-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82993702","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: 5
On the existence of ɛ-fixed points 关于不动点的存在性
Central European Journal of Mathematics Pub Date : 2014-05-08 DOI: 10.2478/s11533-014-0418-x
T. Cardinali
{"title":"On the existence of ɛ-fixed points","authors":"T. Cardinali","doi":"10.2478/s11533-014-0418-x","DOIUrl":"https://doi.org/10.2478/s11533-014-0418-x","url":null,"abstract":"In this paper we prove some approximate fixed point theorems which extend, in a broad sense, analogous results obtained by Brânzei, Morgan, Scalzo and Tijs in 2003. By assuming also the weak demiclosedness property we state two fixed point theorems. Moreover, we study the existence of ɛ-Nash equilibria.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"180 1","pages":"1320-1329"},"PeriodicalIF":0.0,"publicationDate":"2014-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73169733","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
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