发布求助
文献互助 智能选刊 最新文献

Acta Mathematica Hungarica最新文献

筛选
英文 中文
Steiner coset partitions for five mutually commuting subgroups 5个可交换子群的Steiner协集划分
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-09-16 DOI: 10.1007/s10474-026-01635-6
Fusun Akman, Papa Sissokho
{"title":"Steiner coset partitions for five mutually commuting subgroups","authors":"Fusun Akman,&nbsp;Papa Sissokho","doi":"10.1007/s10474-026-01635-6","DOIUrl":"10.1007/s10474-026-01635-6","url":null,"abstract":"<div><p>A <i>Steiner coset partition</i> of a group <i>G</i> with respect to pairwise distinct subgroups <span>(H_1)</span>, ..., <span>(H_r)</span> is a collection of pairwise disjoint cosets <span>(g_1H_1)</span>, ..., <span>(g_rH_r)</span> whose union is <i>G</i>. Motivated by the <i>Herzog–Schönheim Conjecture</i>, we have recently started exploring the groups that admit Steiner coset partitions. In previous work, we completely classified such groups for up to <span>(r=4)</span> mutually commuting subgroups. In this paper, we extend the classification to <span>(r=5)</span> mutually commuting subgroups.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"179 1","pages":"254 - 265"},"PeriodicalIF":0.6,"publicationDate":"2026-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-026-01635-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149176563","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On some examples and counterexamples about weighted Lagrange interpolation with Exponential and Hermite weights 关于指数权和赫米特权加权拉格朗日插值的一些例子和反例
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-09-12 DOI: 10.1007/s10474-026-01634-7
Patricia Szokol
{"title":"On some examples and counterexamples about weighted Lagrange interpolation with Exponential and Hermite weights","authors":"Patricia Szokol","doi":"10.1007/s10474-026-01634-7","DOIUrl":"10.1007/s10474-026-01634-7","url":null,"abstract":"<div><p>The famous Bernstein conjecture about optimal node systems in classical polynomial Lagrange interpolation, standing unresolved for about half a century, was solved by T. Kilgore in 1978. Immediately after him, the additional conjecture of Erdős was also solved by de Boor and Pinkus. These breakthrough achievements were built on a fundamental auxiliary result on the nonsingularity of derivative (Jacobian) matrices of certain interval maxima in the function of the nodes. After the above breakthrough, a considerable effort was made to extend the results to the case of at least certain Chebyshev–Haar spaces of functions. Here, we analyze to what extent the key nonsingularity statement remains true in the case of exponentially weighted interpolation on the half-line, or with Hermite weights on the full real line. In these settings, counterexamples demonstrate that the respective derivative matrices may as well be singular. It remains to further study whether the Bernstein- and Erdős characterizations remain valid. The “hybrid” Chebyshev–Haar system of exponentially weighted polynomials adjoined with constant functions and the corresponding interpolation were previously studied as well. Some hints were also given for the proof of the respective Bernstein and Erdös conjectures. We present in detail the full proof together with all the auxiliary results needed in this setting.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"179 1","pages":"219 - 253"},"PeriodicalIF":0.6,"publicationDate":"2026-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-026-01634-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149176620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fourier-analytic derivation of Hardy-type oscillatory identity for p-circle domains by generalized Bessel functions 用广义贝塞尔函数求p圆域hardy型振荡恒等式的傅里叶解析推导
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-09-11 DOI: 10.1007/s10474-026-01632-9
Masaya Kitajima
{"title":"Fourier-analytic derivation of Hardy-type oscillatory identity for p-circle domains by generalized Bessel functions","authors":"Masaya Kitajima","doi":"10.1007/s10474-026-01632-9","DOIUrl":"10.1007/s10474-026-01632-9","url":null,"abstract":"<div><p>Using Fourier-analytic methods, we derive a Hardy-type oscillatory identity for the family of planar domains <span>({xin mathbb {R}^{2} mid |x_1|^p + |x_2|^p le r^p})</span> with positive <i>p</i> satisfying <span>((2/p) in mathbb {N})</span>. This identity generalizes the classical <i>Hardy’s identity</i> for the Euclidean disk, arising from the Poisson summation formula. For these domains of non-smooth curves (including the <i>astroid</i>), the rotational symmetry of the Fourier transform is lost, so it cannot be expressed using classical Bessel functions. To address this, we introduce a family of generalized Bessel functions naturally arising from the Fourier transform of <i>p</i>-radial functions. These functions capture the oscillatory structure induced by the loss of rotational symmetry and provide the analytic framework for Hardy-type identities between these domains. While classical motivations relate to estimating lattice point errors in number theory, we focus here on deriving the identities themselves and understanding their structure.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"179 1","pages":"204 - 218"},"PeriodicalIF":0.6,"publicationDate":"2026-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-026-01632-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149176369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The minimal common difference of Erdős’ infinite arithmetic progressions Erdős无限等差的最小公差
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-09-09 DOI: 10.1007/s10474-026-01637-4
Yong-Gao Chen
{"title":"The minimal common difference of Erdős’ infinite arithmetic progressions","authors":"Yong-Gao Chen","doi":"10.1007/s10474-026-01637-4","DOIUrl":"10.1007/s10474-026-01637-4","url":null,"abstract":"<div><p>Let <span>(mathcal {E})</span> be the set of positive odd numbers that cannot be represented as the sum of a prime and a power of two. In 1950, Erdős proved that <span>(mathcal {E})</span> contains an infinite arithmetic progression. In this paper, it is proved that if <span>({ mh+a: h=0,1,dots } subseteq mathcal {E})</span>, then <span>(mge 11184810)</span> and <i>m</i> has at least seven distinct prime divisors. Furthermore, these lower bounds are best possible.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"179 1","pages":"196 - 203"},"PeriodicalIF":0.6,"publicationDate":"2026-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149176756","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
Orthoisomorphisms of idempotents of certain unital (C^*)-algebras 某些单位(C^*) -代数的幂等幂的正同构
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-09-08 DOI: 10.1007/s10474-026-01631-w
Fouzia Shaheen, Ahmed Al-Rawashdeh
{"title":"Orthoisomorphisms of idempotents of certain unital (C^*)-algebras","authors":"Fouzia Shaheen,&nbsp;Ahmed Al-Rawashdeh","doi":"10.1007/s10474-026-01631-w","DOIUrl":"10.1007/s10474-026-01631-w","url":null,"abstract":"<div><p>Al-Rawashdeh studied the induced map between the projections and he proved that it is an orthoisomorphism for a large class of <span>(C^*)</span>-algebras. In this paper, we extend the results of Al-Rawashdeh by replacing <span>(mathcal {U}(mathcal {A}))</span> with <span>(GL(mathcal {A}),)</span> and <span>(mathcal {P}(mathcal {A}))</span> with <span>(mathcal {I}(mathcal {A}))</span>. We prove that the induced map of idempotents is an orthoisomorphism for large class of simple, unital <span>(C^*)</span>-algebras of real rank zero with cancellation and having 2-divisible <span>(K_{0})</span>-groups, Cuntz algebras, and for simple, unital purely infinite <span>(C^*)</span>-algebras having 2-divisible <span>(K_{0})</span>-groups.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"179 1","pages":"184 - 195"},"PeriodicalIF":0.6,"publicationDate":"2026-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149176419","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 bound on the equivariant unknotting number 等变解结数的一个界
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-09-04 DOI: 10.1007/s10474-026-01625-8
Sarah Zampa
{"title":"A bound on the equivariant unknotting number","authors":"Sarah Zampa","doi":"10.1007/s10474-026-01625-8","DOIUrl":"10.1007/s10474-026-01625-8","url":null,"abstract":"<div><p>We study how the equivariant signature of strongly invertible knots changes when one of the Boyle–Chen equivariant crossing change moves is applied. It follows from our results that the absolute value of the equivariant signature introduced by Alfieri–Boyle gives a lower bound to three times the equivariant unknotting number.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"179 1","pages":"163 - 183"},"PeriodicalIF":0.6,"publicationDate":"2026-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-026-01625-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149176421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Classification of quaternionic projective transformations by equicontinuity regions 四元数投影变换的等连续区域分类
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-09-02 DOI: 10.1007/s10474-026-01628-5
Sandipan Dutta, Krishnendu Gongopadhyay, Rahul Mondal
{"title":"Classification of quaternionic projective transformations by equicontinuity regions","authors":"Sandipan Dutta,&nbsp;Krishnendu Gongopadhyay,&nbsp;Rahul Mondal","doi":"10.1007/s10474-026-01628-5","DOIUrl":"10.1007/s10474-026-01628-5","url":null,"abstract":"<div><p>We describe the equicontinuity regions of cyclic subgroups of the quaternionic projective linear group <span>(textrm{PSL}(n+1,mathbb {H}))</span>. We show that these regions depend solely on the dynamical type of the generator <i>g</i>, i.e., whether <i>g</i> is elliptic, parabolic, loxodromic or loxoparabolic. This yields an analytic interpretation of the dynamical classification of the elements. In particular, elliptic cyclic groups act equicontinuously on all of the quaternionic projective space, while for the parabolic, loxodromic and loxoparabolic elements the equicontinuity region is determined by explicit quaternionic projective subspaces arising from the generator’s Jordan form.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"179 1","pages":"149 - 162"},"PeriodicalIF":0.6,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149176794","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
Frequent, disjoint hypercyclicity and strong topological transitivity of generalized weighted shift operators on Hilbert (C^{*})-modules Hilbert (C^{*}) -模上广义加权移位算子的频繁、不相交超环性和强拓扑可传递性
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-08-27 DOI: 10.1007/s10474-026-01627-6
Song-Ung Ri, Hyon-Hui Ju, Jin-Myong Kim
{"title":"Frequent, disjoint hypercyclicity and strong topological transitivity of generalized weighted shift operators on Hilbert (C^{*})-modules","authors":"Song-Ung Ri,&nbsp;Hyon-Hui Ju,&nbsp;Jin-Myong Kim","doi":"10.1007/s10474-026-01627-6","DOIUrl":"10.1007/s10474-026-01627-6","url":null,"abstract":"<div><p>In this paper, we study some dynamical properties such as the Frequent Hypercyclicity Criterion, chaos, disjoint hypercyclicity and <span>(mathcal {F})</span>-transitivity via the Furstenberg family <span>(mathcal {F})</span> for generalized bilateral weighted shift operators on the standard Hilbert <span>(C^{*})</span>-module over the <span>(C^{*})</span>-algebra of compact operators on a separable Hilbert space.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"179 1","pages":"131 - 148"},"PeriodicalIF":0.6,"publicationDate":"2026-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149176867","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
Rational link fertility 理性联系生育
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-08-24 DOI: 10.1007/s10474-026-01619-6
Andrew Ducharme
{"title":"Rational link fertility","authors":"Andrew Ducharme","doi":"10.1007/s10474-026-01619-6","DOIUrl":"10.1007/s10474-026-01619-6","url":null,"abstract":"<div><p>A knot <i>K</i> is the resultant of a knot <i>H</i> if there exists a minimal crossing diagram <i>D</i> of <i>H</i> such that some crossings of <i>D</i> can be altered to produce <i>K</i>. <i>H</i> is fertile if every prime knot <i>K</i> with crossing number less than <i>c</i>(<i>H</i>) is a resultant of <i>H</i>. <i>H</i> has fertility number <i>n</i> if every prime knot <i>K</i> with crossing number less than or equal to <i>n</i> is a resultant of <i>H</i>. We classify the fertility and fertility number of all rational links. This requires the introduction of the analogous concept of link fertility. We find <span>(2^2_1)</span>, <span>(4^2_1)</span>, <span>(5^2_1)</span>, <span>(6^2_2)</span>, <span>(6^2_3)</span>, and <span>(7^2_2)</span> are fertile and <span>(6^2_1)</span> is not. We establish that almost all two-component links have fertility number greater than or equal to five.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"179 1","pages":"106 - 130"},"PeriodicalIF":0.6,"publicationDate":"2026-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-026-01619-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149176784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exploring critical cardinalities via selection principles and games 通过选择原则和游戏探索关键基数
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2026-08-20 DOI: 10.1007/s10474-026-01623-w
Nur Alam, Debraj Chandra
{"title":"Exploring critical cardinalities via selection principles and games","authors":"Nur Alam,&nbsp;Debraj Chandra","doi":"10.1007/s10474-026-01623-w","DOIUrl":"10.1007/s10474-026-01623-w","url":null,"abstract":"<div><p>The study of cardinal characteristics <span>(mathfrak {b})</span> and <span>(mathfrak {d})</span> is well known in set-theoretic and general topology. In this paper, we present characterizations of <span>(mathfrak {b})</span> and <span>(mathfrak {d})</span> using selective properties, sub-bounded and sub-dominating families. In addition, we define infinitely long two-player games to present other characterizations of the critical cardinalities <span>(mathfrak {b})</span> and <span>(mathfrak {d})</span>.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"179 1","pages":"87 - 105"},"PeriodicalIF":0.6,"publicationDate":"2026-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149176507","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
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信
小红书