发布求助
文献互助 智能选刊 最新文献

Analysis and Mathematical Physics最新文献

筛选
英文 中文
The analytic content is not semiadditive 分析内容不具有半加性
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2024-11-28 DOI: 10.1007/s13324-024-00994-z
Eduardo S. Zeron, Paul M. Gauthier
{"title":"The analytic content is not semiadditive","authors":"Eduardo S. Zeron,&nbsp;Paul M. Gauthier","doi":"10.1007/s13324-024-00994-z","DOIUrl":"10.1007/s13324-024-00994-z","url":null,"abstract":"<div><p>We show that the analytic content <span>(lambda (cdot ))</span> is neither subadditive nor semiadditive. To be precise, for compact sets <i>K</i> in the complex plane, <span>(lambda (K))</span> is the <i>K</i>-uniform distance from the complex conjugation to the algebra of all rational functions with poles outside <i>K</i>. Thus, given any integer <span>(nge 1)</span>, it is proven that each compactum <i>K</i> can be decomposed as the union of two new compact sets <span>(E_1)</span> and <span>(E_2)</span> with <span>(lambda (E_j)le 1/n)</span> for <span>(j=1,2)</span>. Moreover, we also show that no compactum <i>K</i> with positive analytic content can be decomposed as the countable union of compact sets of zero analytic content.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-024-00994-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737227","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
Functional model for generalised resolvents and its application to time-dispersive media 广义解析子的函数模型及其在时间色散介质中的应用
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2024-11-28 DOI: 10.1007/s13324-024-00993-0
Kirill D. Cherednichenko, Yulia Yu. Ershova, Sergey N. Naboko
{"title":"Functional model for generalised resolvents and its application to time-dispersive media","authors":"Kirill D. Cherednichenko,&nbsp;Yulia Yu. Ershova,&nbsp;Sergey N. Naboko","doi":"10.1007/s13324-024-00993-0","DOIUrl":"10.1007/s13324-024-00993-0","url":null,"abstract":"<div><p>Motivated by recent results concerning the asymptotic behaviour of differential operators with highly contrasting coefficients, whose effective descriptions have involved generalised resolvents, we construct the functional model for a typical example of the latter. This provides a spectral representation for the generalised resolvent, which can be utilised for further analysis, in particular the construction of the scattering operator in related wave propagation setups.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-024-00993-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737226","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
Correction: On entire solutions of certain partial differential equations 更正：关于某些偏微分方程的全解
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2024-11-27 DOI: 10.1007/s13324-024-00997-w
Feng Lü, Wenqi Bi
{"title":"Correction: On entire solutions of certain partial differential equations","authors":"Feng Lü,&nbsp;Wenqi Bi","doi":"10.1007/s13324-024-00997-w","DOIUrl":"10.1007/s13324-024-00997-w","url":null,"abstract":"","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142714225","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
Correction: Preimages under linear combinations of iterates of finite Blaschke products 更正：有限布拉什克积迭代的线性组合下的预成像
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2024-11-26 DOI: 10.1007/s13324-024-00996-x
Spyridon Kakaroumpas, Odí Soler i Gibert
{"title":"Correction: Preimages under linear combinations of iterates of finite Blaschke products","authors":"Spyridon Kakaroumpas,&nbsp;Odí Soler i Gibert","doi":"10.1007/s13324-024-00996-x","DOIUrl":"10.1007/s13324-024-00996-x","url":null,"abstract":"","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-024-00996-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142714255","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
Symmetries of large BKP hierarchy 大型 BKP 层次结构的对称性
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2024-11-20 DOI: 10.1007/s13324-024-00992-1
Wenchuang Guan, Shen Wang, Jipeng Cheng
{"title":"Symmetries of large BKP hierarchy","authors":"Wenchuang Guan,&nbsp;Shen Wang,&nbsp;Jipeng Cheng","doi":"10.1007/s13324-024-00992-1","DOIUrl":"10.1007/s13324-024-00992-1","url":null,"abstract":"<div><p>Symmetries of the large BKP hierarchy, also known as Toda hierarchy of B type, are investigated in this paper. We firstly construct symmetries of the large BKP hierarchy by the method of additional symmetries. Then we derive Adler–Shiota–van Morebeke formula to link the actions of additional symmetries on Lax operators and tau functions.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142679514","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
Lieb–Thirring inequalities on the spheres and SO(3) 球面和 SO(3) 上的李卜-蒂林不等式
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2024-11-19 DOI: 10.1007/s13324-024-00991-2
André Kowacs, Michael Ruzhansky
{"title":"Lieb–Thirring inequalities on the spheres and SO(3)","authors":"André Kowacs,&nbsp;Michael Ruzhansky","doi":"10.1007/s13324-024-00991-2","DOIUrl":"10.1007/s13324-024-00991-2","url":null,"abstract":"<div><p>In this paper, we obtain new upper bounds for the Lieb–Thirring inequality on the spheres of any dimension greater than 2. As far as we have checked, our results improve previous results found in the literature for all dimensions greater than 2. We also prove and exhibit an explicit new upper bound for the Lieb–Thirring inequality on <i>SO</i>(3). We also discuss these estimates in the case of general compact Lie groups. Originally developed for estimating the sums of moments of negative eigenvalues of the Schrödinger operator in <span>(L^2(mathbb {R}^n))</span>, these inequalities have applications in quantum mechanics and other fields.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142672479","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
Meromorphic solutions of Bi-Fermat type partial differential and difference equations 比-费马型偏微分方程和差分方程的同态解
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2024-11-16 DOI: 10.1007/s13324-024-00989-w
Yingchun Gao, Kai Liu
{"title":"Meromorphic solutions of Bi-Fermat type partial differential and difference equations","authors":"Yingchun Gao,&nbsp;Kai Liu","doi":"10.1007/s13324-024-00989-w","DOIUrl":"10.1007/s13324-024-00989-w","url":null,"abstract":"<div><p>Fermat type functional equation with four terms </p><div><div><span>$$begin{aligned} f(z)^{n}+g(z)^{n}+h(z)^{n}+k(z)^{n}=1 end{aligned}$$</span></div></div><p>is difficult to solve completely even if <span>(n=2,3)</span>, in which the certain type of the above equation is also interesting and significant. In this paper, we first to consider the Bi-Fermat type quadratic partial differential equation </p><div><div><span>$$begin{aligned} f(z_{1},z_{2})^{2}+left( frac{partial f(z_{1},z_{2})}{partial z_{1}}right) ^{2}+g(z_{1},z_{2})^{2}+left( frac{partial g(z_{1},z_{2})}{partial z_{1}}right) ^{2}=1 end{aligned}$$</span></div></div><p>in <span>(mathbb {C}^{2})</span>. In addition, we consider the Bi-Fermat type cubic difference equation </p><div><div><span>$$begin{aligned} f(z)^{3}+g(z)^{3}+f(z+c)^{3}+g(z+c)^{3}=1 end{aligned}$$</span></div></div><p>in <span>(mathbb {C})</span> and obtain partial meromorphic solutions on the above equation.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142645697","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
Value distribution of meromorphic functions concerning differences 关于差分的分形函数的值分布
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2024-11-16 DOI: 10.1007/s13324-024-00990-3
Zhiying He, Ge Wang, Mingliang Fang
{"title":"Value distribution of meromorphic functions concerning differences","authors":"Zhiying He,&nbsp;Ge Wang,&nbsp;Mingliang Fang","doi":"10.1007/s13324-024-00990-3","DOIUrl":"10.1007/s13324-024-00990-3","url":null,"abstract":"<div><p>In this paper, we study value distribution of meromorphic functions concerning differences and mainly prove the following result: Let <i>f</i> be a transcendental meromorphic function of <span>(1 le rho (f) &lt; infty )</span>, let <i>c</i> be a nonzero constant, <i>n</i> a positive integer, and let <i>P</i>, <i>Q</i> be two polynomials. If <span>(max left{ lambda (f-P), lambda left( frac{1}{f}right) right} &lt;rho (f))</span> and <span>(Delta _{c}^{n}f not equiv 0)</span>, then we have (i) <span>(delta (Q, Delta _c^n f)=0)</span> and <span>(lambda (Delta _{c}^{n}f-Q)=rho (f))</span>, for <span>(Delta _{c}^{n}Pnot equiv Q)</span>; (ii) <span>(delta (Q, Delta _c^n f)=1)</span> and <span>(lambda (Delta _{c}^{n}f-Q)&lt;rho (f))</span>, for <span>(Delta _{c}^{n}Pequiv Q)</span>. The results obtained in this paper extend and improve some results due to Chen-Shon[J Math Anal Appl 2008], [Sci China Ser A 2009], Liu[Rocky Mountain J Math 2011], Cui-Yang[Acta Math Sci Ser B 2013], Chen[Complex Var Elliptic Equ 2013], Wang-Liu-Fang[Acta Math. Sinica (Chinese Ser) 2016].</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142645730","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
Integrable geodesic flow in 3D and webs of maximal rank 三维可积分大地流和最大秩网
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2024-11-11 DOI: 10.1007/s13324-024-00987-y
Sergey I. Agafonov
{"title":"Integrable geodesic flow in 3D and webs of maximal rank","authors":"Sergey I. Agafonov","doi":"10.1007/s13324-024-00987-y","DOIUrl":"10.1007/s13324-024-00987-y","url":null,"abstract":"<div><p>We characterize geodesic flows, admitting two commuting quadratic integrals with common principal directions, in terms of the geodesic 4-webs such that the tangents to the web leaves are common zero directions of the integrals. We prove that, under some natural geometric hypothesis, the metric is of Stäckel type.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142600559","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 entire solutions of certain partial differential equations 论某些偏微分方程的全解
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2024-11-09 DOI: 10.1007/s13324-024-00988-x
Feng Lü, Wenqi Bi
{"title":"On entire solutions of certain partial differential equations","authors":"Feng Lü,&nbsp;Wenqi Bi","doi":"10.1007/s13324-024-00988-x","DOIUrl":"10.1007/s13324-024-00988-x","url":null,"abstract":"<div><p>We firstly describe entire solutions of variation of the well-known PDE of tubular surfaces. In addition, we consider entire solutions of certain partial differential equations, which are related with the Picard’s little theorem. Moreover, we obtain a Tumura-Clunie type theorem in <span>({mathbb {C}}^{m})</span>, which is an improvement of a result given by Hu-Yang (Bull Aust Math Soc 90: 444-456, 2014).</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"14 6","pages":""},"PeriodicalIF":1.4,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142598863","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
首页 上一页 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：481959085
Book学术官方微信