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Sewn sphere cohomologies for vertex algebras 顶点代数的缝球上同调
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-5-341
A. Zuevsky
{"title":"Sewn sphere cohomologies for vertex algebras","authors":"A. Zuevsky","doi":"10.5817/am2019-5-341","DOIUrl":"https://doi.org/10.5817/am2019-5-341","url":null,"abstract":"We define sewn elliptic cohomologies for vertex algebras by sewing procedure for coboundary operators.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"27 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78032151","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
Superintegrability and time-dependent integrals 超可积性与时相关积分
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-5-309
O. Kubů, L. Šnobl
{"title":"Superintegrability and time-dependent integrals","authors":"O. Kubů, L. Šnobl","doi":"10.5817/am2019-5-309","DOIUrl":"https://doi.org/10.5817/am2019-5-309","url":null,"abstract":"While looking for additional integrals of motion of several minimally superintegrable systems in static electric and magnetic fields, we have realized that in some cases Lie point symmetries of Euler-Lagrange equations imply existence of explicitly time-dependent integrals of motion through Noether’s theorem. These integrals can be combined to get an additional time-independent integral for some values of the parameters of the considered systems, thus implying maximal superintegrability. Even for values of the parameters for which the systems don’t exhibit maximal superintegrability in the usual sense they allow a completely algebraic determination of the trajectories (including their time dependence).","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"80 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85810711","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
Recognizability of finite groups by Suzuki group 铃木群有限群的可识别性
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-4-225
A. K. Asboei, S. S. S. Amiri
{"title":"Recognizability of finite groups by Suzuki group","authors":"A. K. Asboei, S. S. S. Amiri","doi":"10.5817/am2019-4-225","DOIUrl":"https://doi.org/10.5817/am2019-4-225","url":null,"abstract":"Let G be a finite group. The main supergraph S(G) is a graph with vertex set G in which two vertices x and y are adjacent if and only if o(x) | o(y) or o(y) | o(x). In this paper, we will show that G ∼= Sz(q) if and only if S(G) ∼= S(Sz(q)), where q = 22m+1 ≥ 8.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"29 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87207965","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
On instances of Fox’s integral equation connection to the Riemann zeta function 关于Fox的积分方程与黎曼ζ函数的联系
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/AM2019-3-195
A. Patkowski
{"title":"On instances of Fox’s integral equation connection to the Riemann zeta function","authors":"A. Patkowski","doi":"10.5817/AM2019-3-195","DOIUrl":"https://doi.org/10.5817/AM2019-3-195","url":null,"abstract":"We consider some applications of the singular integral equation of the second kind of Fox. Some new solutions to Fox’s integral equation are discussed in relation to number theory.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"34 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90991009","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 a decomposition of non-negative Radon measures 关于非负氡的分解措施
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-4-203
B. A. Kpata
{"title":"On a decomposition of non-negative Radon measures","authors":"B. A. Kpata","doi":"10.5817/am2019-4-203","DOIUrl":"https://doi.org/10.5817/am2019-4-203","url":null,"abstract":"We establish a decomposition of non-negative Radon measures on Rd which extends that obtained by Strichartz [6] in the setting of α-dimensional measures. As consequences, we deduce some well-known properties concerning the density of non-negative Radon measures. Furthermore, some properties of non-negative Radon measures having their Riesz potential in a Lebesgue space are obtained.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"7 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73537369","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 group ring $mathbb{K}F$ of Richard Thompson’s Group $F$ has no minimal non-zero ideals Richard Thompson的群$F$中的群环$mathbb{K}F$没有最小非零理想
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-1-23
J. Donnelly
{"title":"The group ring $mathbb{K}F$ of Richard Thompson’s Group $F$ has no minimal non-zero ideals","authors":"J. Donnelly","doi":"10.5817/am2019-1-23","DOIUrl":"https://doi.org/10.5817/am2019-1-23","url":null,"abstract":"","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"9 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74310290","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
A viscosity-proximal gradient method with inertial extrapolation for solving certain minimization problems in Hilbert space 用惯性外推的黏度-近端梯度法求解Hilbert空间中的最小化问题
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/AM2019-3-167
L. Jolaoso, H. Abass, O. Mewomo
{"title":"A viscosity-proximal gradient method with inertial extrapolation for solving certain minimization problems in Hilbert space","authors":"L. Jolaoso, H. Abass, O. Mewomo","doi":"10.5817/AM2019-3-167","DOIUrl":"https://doi.org/10.5817/AM2019-3-167","url":null,"abstract":"In this paper, we study the strong convergence of the proximal gradient algorithm with inertial extrapolation term for solving classical minimization problem and finding the fixed points of δ-demimetric mapping in a real Hilbert space. Our algorithm is inspired by the inertial proximal point algorithm and the viscosity approximation method of Moudafi. A strong convergence result is achieved in our result without necessarily imposing the summation condition ∑∞ n=1 βn‖xn−1 − xn‖ < +∞ on the inertial term. Finally, we provide some applications and numerical example to show the efficiency and accuracy of our algorithm. Our results improve and complement many other related results in the literature.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"55 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80195906","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: 8
A note on the cohomology ring of the oriented Grassmann manifolds $widetilde{G}_{n,4}$ 关于有向Grassmann流形$widetilde{G}_{n,4}$的上同环的一个注记
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-5-319
T. Rusin
{"title":"A note on the cohomology ring of the oriented Grassmann manifolds $widetilde{G}_{n,4}$","authors":"T. Rusin","doi":"10.5817/am2019-5-319","DOIUrl":"https://doi.org/10.5817/am2019-5-319","url":null,"abstract":"","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"1479 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77711860","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
Invariant symbolic calculus for compact Lie groups 紧李群的不变符号微积分
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/am2019-3-139
B. Cahen
{"title":"Invariant symbolic calculus for compact Lie groups","authors":"B. Cahen","doi":"10.5817/am2019-3-139","DOIUrl":"https://doi.org/10.5817/am2019-3-139","url":null,"abstract":"We study the invariant symbolic calculi associated with the unitary irreducible representations of a compact Lie group.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"16 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77141946","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
Existence and uniqueness of solutions of the fractional integro-differential equations in vector-valued function space 向量值函数空间中分数阶积分微分方程解的存在唯一性
IF 0.6
Archivum Mathematicum Pub Date : 2019-01-01 DOI: 10.5817/AM2019-2-97
Bahloul Rachid
{"title":"Existence and uniqueness of solutions of the fractional integro-differential equations in vector-valued function space","authors":"Bahloul Rachid","doi":"10.5817/AM2019-2-97","DOIUrl":"https://doi.org/10.5817/AM2019-2-97","url":null,"abstract":"The aim of this work is to study the existence and uniqueness of solutions of the fractional integro-differential equations $frac{d}{dt}[x(t) - L(x_{t})]= A[x(t)- L(x_{t})]+G(x_{t})+ frac{1}{Gamma (alpha )} int _{- infty }^{t} (t-s)^{alpha - 1} ( int _{- infty }^{s}a(s-xi )x(xi ) d xi )ds+f(t)$, ($alpha > 0$) with the periodic condition $x(0) = x(2pi )$, where $a in L^{1}(mathbb{R}_{+})$ . Our approach is based on the R-boundedness of linear operators $L^{p}$-multipliers and UMD-spaces.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"4 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78728746","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
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