Bulletin of The Iranian Mathematical Society最新文献_第5页

Pseudo-Differential Operators on Matrix Weighted Besov–Triebel–Lizorkin Spaces 矩阵加权贝索夫-特里贝尔-利佐金空间上的伪微分算子

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-08 DOI: 10.1007/s41980-024-00869-w

Tengfei Bai, Jingshi Xu

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An Approach to Distributed Systems from Orderings and Representability 从有序性和可表示性看分布式系统的方法

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-08 DOI: 10.1007/s41980-024-00865-0

Asier Estevan

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Fusion-Invariant Representations for Symmetric Groups 对称群的融合不变表示

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-08 DOI: 10.1007/s41980-024-00867-y

José Cantarero, Jorge Gaspar-Lara

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Global Solvability and Oscillation Criteria for a Class of Second Order Nonlinear Ordinary Differential Equations, Containing Some Important Classical Models 一类包含若干重要经典模型的二阶非线性常微分方程的全局可解性和振荡标准

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-08 DOI: 10.1007/s41980-023-00852-x

Gevorg Avagovich Grigorian

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Sharp Lower Estimations for Invariants Associated with the Ideal of Antiderivatives of Singularities 与奇异性反代数理想相关的不变量的尖锐下限估计值

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-03-29 DOI: 10.1007/s41980-024-00866-z

{"title":"Sharp Lower Estimations for Invariants Associated with the Ideal of Antiderivatives of Singularities","authors":"","doi":"10.1007/s41980-024-00866-z","DOIUrl":"https://doi.org/10.1007/s41980-024-00866-z","url":null,"abstract":"<h3>Abstract</h3> Let (V, 0) be a hypersurface with an isolated singularity at the origin defined by the holomorphic function (f: (mathbb {C}^n, 0)rightarrow (mathbb {C}, 0)) . We introduce a new derivation Lie algebra associated to (V, 0). The new Lie algebra is defined by the ideal of antiderivatives with respect to the Tjurina ideal of (V, 0). More precisely, let (I = (f, frac{partial f}{partial x_1},ldots , frac{partial f}{partial x_n})) and (Delta (I):= {gmid g,frac{partial g}{partial x_1},ldots , frac{partial g}{partial x_n}in I}) , then (A^Delta (V):= mathcal O_n/Delta (I)) and (L^Delta (V):= textrm{Der}(A^Delta (V),A^Delta (V))) . Their dimensions as a complex vector space are denoted as (beta (V)) and (delta (V)) , respectively. (delta (V)) is a new invariant of singularities. In this paper we study the new local algebra (A^Delta (V)) and the derivation Lie algebra (L^Delta (V)) , and also compute them for fewnomial isolated singularities. Moreover, we formulate sharp lower estimation conjectures for (beta (V)) and (delta (V)) when (V, 0) are weighted homogeneous isolated hypersurface singularities. We verify these conjectures for a large class of singularities. Lastly, we provide an application of (beta (V)) and (delta (V)) to distinguishing contact classes of singularities.","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":"130 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140325586","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

Further Results on the [k]-Roman Domination in Graphs 关于图中 [k] 罗曼支配的进一步结果

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-03-27 DOI: 10.1007/s41980-024-00872-1

引用次数: 0

On the Gel’fand Theory for Topological Algebras 论拓扑结构的格尔范德理论

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-03-22 DOI: 10.1007/s41980-023-00854-9

Ali Oukhouya

引用次数: 0

A Note on 3-Distance Coloring of Planar Graphs 平面图的三维着色说明

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-03-19 DOI: 10.1007/s41980-023-00848-7

Morteza Hasanvand, Kenta Ozeki

引用次数: 0

Cesàro $$mathfrak {q}$$ -Difference Sequence Spaces and Spectrum of Weighted $$mathfrak {q}$$ -Difference Operator Cesàro $$mathfrak {q}$ -差分序列空间和加权 $$mathfrak {q}$ -差分算子的频谱

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-03-15 DOI: 10.1007/s41980-024-00862-3

Taja Yaying, Bipan Hazarika, Pinakadhar Baliarsingh, Mohammad Mursaleen

{"title":"Cesàro $$mathfrak {q}$$ -Difference Sequence Spaces and Spectrum of Weighted $$mathfrak {q}$$ -Difference Operator","authors":"Taja Yaying, Bipan Hazarika, Pinakadhar Baliarsingh, Mohammad Mursaleen","doi":"10.1007/s41980-024-00862-3","DOIUrl":"https://doi.org/10.1007/s41980-024-00862-3","url":null,"abstract":"In this research paper, we undertake an investigation into Cesàro (mathfrak {q})-difference sequence spaces (mathfrak {X}(mathfrak {C}_1^{delta ;mathfrak {q}})), where (mathfrak {X} in {ell _{infty },c,c_0}.) These spaces are generated using the matrix (mathfrak {C}_1^{delta ,mathfrak {q}}), which is a product of the Cesàro matrix (mathfrak {C}_1) of the first-order and the second-order (mathfrak {q})-difference operator (nabla ^2_mathfrak {q}) defined by $$begin{aligned} (nabla ^2_mathfrak {q} mathfrak {f})_k=mathfrak {f}_k-(1+mathfrak {q})mathfrak {f}_{k-1}+mathfrak {q}mathfrak {f}_{k-2},~(kin mathbb {N}_0), end{aligned}$$where (mathfrak {q}in (0,1)) and (mathfrak {f}_k=0) for (k<0.) Our endeavor includes the establishment of significant inclusion relationships, the determination of bases for these spaces, the investigation of their (alpha )-, (beta )-, and (gamma )-duals, and the formulation of characterization results pertaining to matrix classes ((mathfrak {X},mathfrak {Y})), with (mathfrak {X}) chosen from the set ({ell _{infty }(mathfrak {C}_1^{delta ;mathfrak {q}}), c(mathfrak {C_1^{delta ;mathfrak {q}}}), c_0(mathfrak {C}_1^{delta ;mathfrak {q}})}) and (mathfrak {Y}) chosen from the set ({ell _{infty },c,c_0,ell _{1}}.) The final section of our study is dedicated to the meticulous spectral analysis of the weighted (mathfrak {q})-difference operator (nabla ^{2;mathfrak {z}}_{mathfrak {q}}) over the space (c_0) of null sequences.","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":"10 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140149518","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

Global and Local Solutions of Stochastic Nonlinear Schrödinger System With Quadratic Interaction 具有二次交互作用的随机非线性薛定谔系统的全局和局部解决方案

IF 0.7 4区数学

Bulletin of The Iranian Mathematical Society Pub Date : 2024-03-15 DOI: 10.1007/s41980-024-00863-2

Masaru Hamano, Shunya Hashimoto, Shuji Machihara

引用次数: 0