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Mediterranean Journal of Mathematics最新文献

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The Schröedinger–Pauli Equation in a Finite Square Domain 有限方域中的施罗林格-保利方程
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-08 DOI: 10.1007/s00009-024-02640-1
Carlo Cattani, Yusif Gasimov
{"title":"The Schröedinger–Pauli Equation in a Finite Square Domain","authors":"Carlo Cattani, Yusif Gasimov","doi":"10.1007/s00009-024-02640-1","DOIUrl":"https://doi.org/10.1007/s00009-024-02640-1","url":null,"abstract":"<p>In this paper, we consider the Schrödinger–Pauli problem on a finite square domain. Because of the boundary conditions we have proposed as a solution a suitable trigonometric series. We have shown that these coefficients exist and can be univocally determined by solving a simple algebraic system.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"40 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Abelian Subalgebras and Ideals of Maximal Dimension in Solvable Leibniz Superalgebras 可解莱布尼兹超代数中的阿贝尔子代数和最大维度的理想数
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-06 DOI: 10.1007/s00009-024-02634-z
Sofiane Bouarroudj, Antonio J. Calderón, Amir Fernández Ouaridi, Rosa María Navarro
{"title":"Abelian Subalgebras and Ideals of Maximal Dimension in Solvable Leibniz Superalgebras","authors":"Sofiane Bouarroudj, Antonio J. Calderón, Amir Fernández Ouaridi, Rosa María Navarro","doi":"10.1007/s00009-024-02634-z","DOIUrl":"https://doi.org/10.1007/s00009-024-02634-z","url":null,"abstract":"<p>We study the invariants <span>(alpha )</span> and <span>(beta )</span>, which correspond to the dimension of an abelian subalgebra (ideal resp.) of maximal dimension, in the context of Leibniz superalgebras. We prove that these invariants coincide if there is an abelian subalgebra of codimension one. We also examine the case in which the abelian subalgebras of maximal dimension are of codimension two. Finally, we study the <span>(alpha )</span> and <span>(beta )</span> invariants for some distinguished families of Leibniz superalgebras.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"28 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 p-Frobenius of Affine Semigroups 论亲半群的 p-Frobenius
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-06 DOI: 10.1007/s00009-024-02625-0
Evelia R. García Barroso, Juan I. García-García, Luis J. Santana Sánchez, Alberto Vigneron-Tenorio
{"title":"On p-Frobenius of Affine Semigroups","authors":"Evelia R. García Barroso, Juan I. García-García, Luis J. Santana Sánchez, Alberto Vigneron-Tenorio","doi":"10.1007/s00009-024-02625-0","DOIUrl":"https://doi.org/10.1007/s00009-024-02625-0","url":null,"abstract":"<p>This paper studies the <i>p</i>-Frobenius vector of affine semigroups <span>(Ssubset mathbb {N}^q)</span>. Defined with respect to a graded monomial order, the <i>p</i>-Frobenius vector represents the maximum element with at most <i>p</i> factorizations within <i>S</i>. We develop efficient algorithms for computing these vectors and analyze their behavior under the gluing operations with <span>(mathbb {N}^q)</span>.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"98 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Exceptional Dehn Surgeries on Some Infinite Series of Hyperbolic Knots and Links 双曲结和链接的某些无穷序列上的异常 Dehn 手术
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-03 DOI: 10.1007/s00009-024-02633-0
Alberto Cavicchioli, Fulvia Spaggiari
{"title":"Exceptional Dehn Surgeries on Some Infinite Series of Hyperbolic Knots and Links","authors":"Alberto Cavicchioli, Fulvia Spaggiari","doi":"10.1007/s00009-024-02633-0","DOIUrl":"https://doi.org/10.1007/s00009-024-02633-0","url":null,"abstract":"<p>We study closed connected orientable 3-manifolds obtained by Dehn surgery along the oriented components of a link, introduced and considered by Motegi and Song (2005) and Ichihara et al. (2008). For such manifolds, we find a finite balanced group presentation of the fundamental group and describe exceptional surgeries. This allows us to construct an infinite family of tunnel number one strongly invertible hyperbolic knots with three parameters, which admit toroidal surgeries and Seifert fibered surgeries. Among the obtained results, we mention that for every integer <span>(n &gt;5)</span> there are infinitely many hyperbolic knots in the 3–sphere, whose <span>((n-2))</span> and <span>((n+1))</span>-surgeries are toroidal, and <span>((n-1))</span> and <i>n</i>-surgeries are Seifert fibered.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"29 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Transforming Radical Differential Equations to Algebraic Differential Equations 将根式微分方程转换为代数微分方程
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-02 DOI: 10.1007/s00009-024-02624-1
Sebastian Falkensteiner, J. Rafael Sendra
{"title":"Transforming Radical Differential Equations to Algebraic Differential Equations","authors":"Sebastian Falkensteiner, J. Rafael Sendra","doi":"10.1007/s00009-024-02624-1","DOIUrl":"https://doi.org/10.1007/s00009-024-02624-1","url":null,"abstract":"<p>In this paper, we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknown function and its derivatives into a system with polynomial relations among them by means of a rational change of variables. The solutions of the given equation and its transformation correspond one-to-one. This work can be seen as a generalization of previous work on reparametrization of ODEs and PDEs with radical coefficients.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"60 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Existence of Periodic Solutions for a Class of p-Laplacian Systems with Delay 一类带延迟的 p 拉普拉斯系统的周期解的存在性
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-04-01 DOI: 10.1007/s00009-024-02629-w
Chengjun Guo, Xinjie Ye, Junming Liu
{"title":"Existence of Periodic Solutions for a Class of p-Laplacian Systems with Delay","authors":"Chengjun Guo, Xinjie Ye, Junming Liu","doi":"10.1007/s00009-024-02629-w","DOIUrl":"https://doi.org/10.1007/s00009-024-02629-w","url":null,"abstract":"<p>The purpose of this article is to study the existence of periodic solutions for the <i>p</i>-Laplacian systems with delay </p><span>$$begin{aligned} -(|z'(t)|^{p-2}z'(t))'= &amp; {} f(t,z(t+tau ),z(t),z(t-tau )), z(tau )-z(-tau )= &amp; {} z'(tau )-z'(-tau )=0. end{aligned}$$</span><p>Using the saddle point theorem and the linking theorem, some new existence theorems are obtained for second-order <i>p</i>-Laplacian systems with delay.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"82 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570160","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Cyclic Actions of Finite Groups 论有限群的循环作用
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-03-28 DOI: 10.1007/s00009-024-02626-z
Lü Gong, Qilin Chen, Baojun Li
{"title":"On Cyclic Actions of Finite Groups","authors":"Lü Gong, Qilin Chen, Baojun Li","doi":"10.1007/s00009-024-02626-z","DOIUrl":"https://doi.org/10.1007/s00009-024-02626-z","url":null,"abstract":"<p>Let <i>A</i> act on a group <i>G</i>. <i>A</i> is said to act <i>p</i>-cyclically on <i>G</i> if <span>(A^{{mathfrak {N}}_p {mathfrak {A}}_{p-1}})</span> acts stably on <span>(G/O_{p'}(G))</span>, and <i>A</i> is said to act cyclically on <i>G</i> if <i>A</i> acts <i>p</i>-cyclically on <i>G</i> for all primes <i>p</i>. In this paper, the actions of a group <i>A</i> on a <i>p</i>-group or <i>p</i>-soluble group <i>G</i> are investigated and some criteria of an action to be cyclic or <i>p</i>-cyclic are obtained.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"41 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140314973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A Class of Meromorphic Functions with Yang’s Conjecture Concerning Periodicity 一类具有杨氏周期性猜想的微变函数
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-03-25 DOI: 10.1007/s00009-024-02627-y
Xinling Liu
{"title":"A Class of Meromorphic Functions with Yang’s Conjecture Concerning Periodicity","authors":"Xinling Liu","doi":"10.1007/s00009-024-02627-y","DOIUrl":"https://doi.org/10.1007/s00009-024-02627-y","url":null,"abstract":"<p>In this paper, we first discuss a class of meromorphic functions satisfying a certain property on characteristic functions of Nevanlinna theory and then give the applications of the class to Yang’s conjecture and its variants.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"52 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140298821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Triviality and Rigidity of Almost Riemann Solitons 几乎黎曼孤子的琐碎性和刚性
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-03-25 DOI: 10.1007/s00009-024-02620-5
Amalendu Ghosh
{"title":"Triviality and Rigidity of Almost Riemann Solitons","authors":"Amalendu Ghosh","doi":"10.1007/s00009-024-02620-5","DOIUrl":"https://doi.org/10.1007/s00009-024-02620-5","url":null,"abstract":"<p>In this paper, we study some triviality and rigidity results of Riemann soliton. First, we derive some sufficient conditions for which an almost Riemann soliton is trivial. In particular, we prove that any compact almost Riemann soliton with constant scalar curvature has constant sectional curvature. Next, we prove some rigidity results for gradient Riemann solitons. Precisely, we prove that a non-trivial gradient Riemann soliton is locally isometric to a warped product <span>(( I times F, textrm{d}t^2 + f(t)^2g_{F}))</span>, where <span>(nabla sigma ne 0)</span>.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"43 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140298890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Dunkl–Weinstein Multiplier Operators and Applications to Reproducing Kernel Theory 邓克尔-韦恩斯坦乘法算子及其在再现核理论中的应用
IF 1.1 3区 数学
Mediterranean Journal of Mathematics Pub Date : 2024-03-24 DOI: 10.1007/s00009-024-02623-2
Fethi Soltani, Ibrahim Maktouf
{"title":"Dunkl–Weinstein Multiplier Operators and Applications to Reproducing Kernel Theory","authors":"Fethi Soltani, Ibrahim Maktouf","doi":"10.1007/s00009-024-02623-2","DOIUrl":"https://doi.org/10.1007/s00009-024-02623-2","url":null,"abstract":"<p>In this paper, we have interested on the Dunkl–Weinstein multiplier operators <span>(mathscr {M}_{k,beta ,a})</span> on the Dunkl–Weinstein-type Paley–Wiener space <span>(mathscr {H}_s)</span>. We give for these operators an application to the reproducing kernel theory; and we deduce for them best approximation on the Paley–Wiener space <span>(mathscr {H}_s)</span>. Finally, we give two applications in two particular cases, the first is a Weinstein case <span>((k=0))</span>, and the second is the Dunkl case when <span>(G=mathbb {Z}_2^d)</span>. More precisely, we write the solution of the Tikhonov regularization problem in these cases as a convolution product of two functions.</p>","PeriodicalId":49829,"journal":{"name":"Mediterranean Journal of Mathematics","volume":"27 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140298752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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