Archiv der Mathematik最新文献_第2页

An elementary approach to the group law on elliptic curves 椭圆曲线群法的基本方法

IF 0.5 4区数学

Archiv der Mathematik Pub Date : 2024-09-20 DOI: 10.1007/s00013-024-02041-6

Sander Zwegers

引用次数: 0

The relation between the gonality and the Clifford index of a chain of cycles 循环链的冈性与克利福德指数之间的关系

IF 0.5 4区数学

Archiv der Mathematik Pub Date : 2024-09-19 DOI: 10.1007/s00013-024-02049-y

Marc Coppens

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Spherical Logvinenko–Sereda–Kovrijkine type inequality and null-controllability of the heat equation on the sphere 球面罗格维年科-塞雷达-科夫里金式不等式和球面热方程的无效可控性

IF 0.5 4区数学

Archiv der Mathematik Pub Date : 2024-09-17 DOI: 10.1007/s00013-024-02051-4

Alexander Dicke, Ivan Veselić

引用次数: 0

Rationality of extended unipotent characters 扩展单能字符的合理性

IF 0.5 4区数学

Archiv der Mathematik Pub Date : 2024-09-17 DOI: 10.1007/s00013-024-02045-2

Olivier Dudas, Gunter Malle

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The canonical trace of determinantal rings 行列式环的典型痕量

IF 0.5 4区数学

Archiv der Mathematik Pub Date : 2024-09-14 DOI: 10.1007/s00013-024-02047-0

Antonino Ficarra, Jürgen Herzog, Dumitru I. Stamate, Vijaylaxmi Trivedi

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The derived dimensions and representation distances of Artin algebras 阿廷代数的导出维数和表示距离

IF 0.5 4区数学

Archiv der Mathematik Pub Date : 2024-09-11 DOI: 10.1007/s00013-024-02030-9

Junling Zheng, Yingying Zhang

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Almost periodic motions and their stability of the non-autonomous Oseen–Navier–Stokes flows 非自治奥森-纳维尔-斯托克斯流的几乎周期运动及其稳定性

IF 0.5 4区数学

Archiv der Mathematik Pub Date : 2024-09-03 DOI: 10.1007/s00013-024-02044-3

Ngoc Huy Nguyen, Thieu Huy Nguyen, Thi Ngoc Ha Vu

引用次数: 0

Residual growth control for general maps and an approximate inverse function result 一般地图的残差增长控制和近似反函数结果

IF 0.5 4区数学

Archiv der Mathematik Pub Date : 2024-08-30 DOI: 10.1007/s00013-024-02035-4

Mario Amrein

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引用次数: 0

A note on the 1-D minimization problem related to solenoidal improvement of the uncertainty principle inequality 与不确定性原理不等式的螺线改进有关的一维最小化问题说明

IF 0.5 4区数学

Archiv der Mathematik Pub Date : 2024-08-28 DOI: 10.1007/s00013-024-02042-5

Naoki Hamamoto

{"title":"A note on the 1-D minimization problem related to solenoidal improvement of the uncertainty principle inequality","authors":"Naoki Hamamoto","doi":"10.1007/s00013-024-02042-5","DOIUrl":"10.1007/s00013-024-02042-5","url":null,"abstract":"<div>This paper gives a second way to solve the one-dimensional minimization problem of the form : <div><div>$$begin{aligned} min _{fnot equiv 0}frac{displaystyle int limits _0^infty left( f''right) ^2x^{mu +1}dxint limits _0^infty left( {x}^2left( f'right) ^2 -varepsilon f^2right) {{x}}^{mu -1}d{x}}{displaystyle left( int limits _0^infty left( f'right) ^2 {{x}}^{mu }d{x}right) ^2} end{aligned}$$</div></div>for scalar-valued functions f on the half line, where (f') and (f'') are its derivatives and (varepsilon ) and (mu ) are positive parameters with (varepsilon < frac{mu ^2}{4}.) This problem plays an essential part of the calculation of the best constant in Heisenberg’s uncertainty principle inequality for solenoidal vector fields. The above problem was originally solved by using (generalized) Laguerre polynomial expansion; however, the calculation was complicated and long. In the present paper, we give a simpler method to obtain the same solution, the essential part of which was communicated in Theorem 5.1 of the preprint (Hamamoto, arXiv:2104.02351v4, 2021).</div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"123 6","pages":"653 - 662"},"PeriodicalIF":0.5,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00013-024-02042-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 first two k-invariants of (textrm{Top}/textrm{O}) $$textrm{Top}/textrm{O}$$的前两个k变量

IF 0.5 4区数学

Archiv der Mathematik Pub Date : 2024-08-27 DOI: 10.1007/s00013-024-02036-3

Alexander Kupers

引用次数: 0