Bollettino dell'Unione Matematica Italiana最新文献

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Uniform finiteness and viscerality 统一的有限性和直观性
Bollettino dell'Unione Matematica Italiana Pub Date : 2024-01-27 DOI: 10.1007/s40574-023-00405-4
Somayyeh Tari
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引用次数: 0
Kluvánek–Lewis–Henstock integral in Banach spaces 巴拿赫空间中的克鲁瓦内克-刘易斯-亨斯托克积分
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-12-31 DOI: 10.1007/s40574-023-00403-6
H. Kalita, B. Hazarika
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引用次数: 0
Functional identity on division algebras 划分代数上的函数同一性
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-12-21 DOI: 10.1007/s40574-023-00402-7
Bruno Leonardo Macedo Ferreira, Alex Carrazedo Dantas, Gabriela C. Moraes
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引用次数: 0
Correction to: On the interplay between hypergeometric series, Fourier–Legendre expansions and Euler sums 更正:关于超几何级数、傅立叶-勒根展开和欧拉和之间的相互作用
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-12-20 DOI: 10.1007/s40574-023-00404-5
M. Cantarini
{"title":"Correction to: On the interplay between hypergeometric series, Fourier–Legendre expansions and Euler sums","authors":"M. Cantarini","doi":"10.1007/s40574-023-00404-5","DOIUrl":"https://doi.org/10.1007/s40574-023-00404-5","url":null,"abstract":"","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"117 37","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138958440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Solvability of a fourth order elliptic problem in a bounded sector, part I 有界区四阶椭圆问题的可解性,第一部分
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-12-09 DOI: 10.1007/s40574-023-00401-8
R. Labbas, S. Maingot, A. Thorel
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引用次数: 0
On some structural properties of generalized Lyapunov eigenproblems and application to operator preconditioning 论广义李亚普诺夫特征问题的一些结构特性及其在算子预处理中的应用
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-11-28 DOI: 10.1007/s40574-023-00400-9
Valeria Simoncini, Daniele Toni
{"title":"On some structural properties of generalized Lyapunov eigenproblems and application to operator preconditioning","authors":"Valeria Simoncini, Daniele Toni","doi":"10.1007/s40574-023-00400-9","DOIUrl":"https://doi.org/10.1007/s40574-023-00400-9","url":null,"abstract":"","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"47 1","pages":"1-21"},"PeriodicalIF":0.0,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139219752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Principal fundamental system of solutions, the Hartman-Wintner problem and correct solvability of the general Sturm-Liouville equation 主要解的基本系统,Hartman-Wintner问题和一般Sturm-Liouville方程的正确可解性
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-11-09 DOI: 10.1007/s40574-023-00398-0
N. Chernyavskaya, L. Shuster
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引用次数: 0
On the spectrum of exterior algebra, and generalized exponents of small representations 外代数的谱,以及小表示的广义指数
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-11-02 DOI: 10.1007/s40574-023-00390-8
Sabino Di Trani
{"title":"On the spectrum of exterior algebra, and generalized exponents of small representations","authors":"Sabino Di Trani","doi":"10.1007/s40574-023-00390-8","DOIUrl":"https://doi.org/10.1007/s40574-023-00390-8","url":null,"abstract":"Abstract We present some results about the irreducible representations appearing in the exterior algebra $$Lambda mathfrak {g}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>Λ</mml:mi> <mml:mi>g</mml:mi> </mml:mrow> </mml:math> , where $$mathfrak {g}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>g</mml:mi> </mml:math> is a simple Lie algebra over $${mathbb {C}}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>C</mml:mi> </mml:math> . For Lie algebras of type B , C or D we prove that certain irreducible representations, associated to weights characterized in a combinatorial way, appear as irreducible components of $$Lambda mathfrak {g}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>Λ</mml:mi> <mml:mi>g</mml:mi> </mml:mrow> </mml:math> . Moreover, we propose an analogue of a conjecture of Kostant, about irreducibles appearing in the exterior algebra of the little adjoint representation. Finally, we give some closed expressions, in type B , C and D , for generalized exponents of small representations that are fundamental representations and we propose a generalization of some results of De Concini, Möseneder Frajria, Procesi and Papi about the module of special covariants of adjoint and little adjoint type.","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"23 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135876625","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Degree of convergence in operator versions of nonlinear Korovkin’s theorems 非线性Korovkin定理算子版本的收敛度
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-11-02 DOI: 10.1007/s40574-023-00397-1
Sorin G. Gal, Constantin P. Niculescu
{"title":"Degree of convergence in operator versions of nonlinear Korovkin’s theorems","authors":"Sorin G. Gal, Constantin P. Niculescu","doi":"10.1007/s40574-023-00397-1","DOIUrl":"https://doi.org/10.1007/s40574-023-00397-1","url":null,"abstract":"","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"7 11","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135972715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Splitting-type variational problems with asymmetrical growth conditions 不对称增长条件下的分裂型变分问题
Bollettino dell'Unione Matematica Italiana Pub Date : 2023-10-31 DOI: 10.1007/s40574-023-00394-4
Michael Bildhauer, Martin Fuchs
{"title":"Splitting-type variational problems with asymmetrical growth conditions","authors":"Michael Bildhauer, Martin Fuchs","doi":"10.1007/s40574-023-00394-4","DOIUrl":"https://doi.org/10.1007/s40574-023-00394-4","url":null,"abstract":"Abstract Splitting-type variational problems $$begin{aligned} int _{Omega }sum _{i=1}^n f_i(partial _i w) , textrm{d}xrightarrow min end{aligned}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mtable> <mml:mtr> <mml:mtd> <mml:mrow> <mml:msub> <mml:mo>∫</mml:mo> <mml:mi>Ω</mml:mi> </mml:msub> <mml:munderover> <mml:mo>∑</mml:mo> <mml:mrow> <mml:mi>i</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:mi>n</mml:mi> </mml:munderover> <mml:msub> <mml:mi>f</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:msub> <mml:mi>∂</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mi>w</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mspace /> <mml:mtext>d</mml:mtext> <mml:mi>x</mml:mi> <mml:mo>→</mml:mo> <mml:mo>min</mml:mo> </mml:mrow> </mml:mtd> </mml:mtr> </mml:mtable> </mml:mrow> </mml:math> with superlinear growth conditions are studied by assuming $$begin{aligned} h_i(t) le f''_i(t) le H_i(t) qquad (*) end{aligned}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mtable> <mml:mtr> <mml:mtd> <mml:mrow> <mml:msub> <mml:mi>h</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>≤</mml:mo> <mml:msubsup> <mml:mi>f</mml:mi> <mml:mi>i</mml:mi> <mml:mrow> <mml:mo>′</mml:mo> <mml:mo>′</mml:mo> </mml:mrow> </mml:msubsup> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>≤</mml:mo> <mml:msub> <mml:mi>H</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mspace /> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow /> <mml:mo>∗</mml:mo> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:mtd> </mml:mtr> </mml:mtable> </mml:mrow> </mml:math> with suitable functions $$h_i$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msub> <mml:mi>h</mml:mi> <mml:mi>i</mml:mi> </mml:msub> </mml:math> , $$H_i$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msub> <mml:mi>H</mml:mi> <mml:mi>i</mml:mi> </mml:msub> </mml:math> : $$mathbb {R}rightarrow mathbb {R}^+$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>R</mml:mi> <mml:mo>→</mml:mo> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mo>+</mml:mo> </mml:msup> </mml:mrow> </mml:math> , $$i=1$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>i</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> , ..., n , measuring the growth and ellipticity of the energy density. Here, as the main feature, we do not impose a symmetric behaviour like $$h_i(t)approx h_i(-t)$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:msub> <mml:mi>h</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>≈</mml:mo> <mml:msub> <mml:mi>h</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml","PeriodicalId":214688,"journal":{"name":"Bollettino dell'Unione Matematica Italiana","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135869430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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