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Functional Analysis and Its Applications最新文献

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Connes Integration Formula: A Constructive Approach cones积分公式:一个建设性的方法
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010045
D. V. Zanin, F. A. Sukochev
{"title":"Connes Integration Formula: A Constructive Approach","authors":"D. V. Zanin,&nbsp;F. A. Sukochev","doi":"10.1134/S0016266323010045","DOIUrl":"10.1134/S0016266323010045","url":null,"abstract":"<p> A version of Connes Integration Formula which provides concrete asymptotics of eigenvalues is given. This radically extends the class of quantum-integrable functions on compact Riemannian manifolds. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1","pages":"40 - 59"},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4231634","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
The Image of a Lagrangian Germ of Type (E_6^pm) 拉格朗日型胚芽的象 (E_6^pm)
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010094
V. D. Sedykh
{"title":"The Image of a Lagrangian Germ of Type (E_6^pm)","authors":"V. D. Sedykh","doi":"10.1134/S0016266323010094","DOIUrl":"10.1134/S0016266323010094","url":null,"abstract":"<p> It is proved that the image of a stable germ of type <span>(E_6^pm)</span> of a Lagrangian map to <span>(mathbb R^n)</span> is homeomorphic to the germ at zero of a closed half-space. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1","pages":"80 - 82"},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4233945","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
On the Structure of Coset (n)-Valued Topological Groups on (S^3) and (mathbb{R}P^3) 关于(S^3)和上的陪集(n)值拓扑群的结构 (mathbb{R}P^3)
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010070
D. V. Gugnin
{"title":"On the Structure of Coset (n)-Valued Topological Groups on (S^3) and (mathbb{R}P^3)","authors":"D. V. Gugnin","doi":"10.1134/S0016266323010070","DOIUrl":"10.1134/S0016266323010070","url":null,"abstract":"<p> Three-dimensional manifolds carrying the structure of <span>(n)</span>-valued coset topological groups originating from the Lie groups <span>(Sp(1))</span> and <span>(SO(3))</span> are classified. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1","pages":"71 - 73"},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4233948","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
Nash-Type Inequalities on Metric-Measure Spaces 度量-测度空间上的纳什型不等式
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010069
A. Ranjbar-Motlagh
{"title":"Nash-Type Inequalities on Metric-Measure Spaces","authors":"A. Ranjbar-Motlagh","doi":"10.1134/S0016266323010069","DOIUrl":"10.1134/S0016266323010069","url":null,"abstract":"<p> We extend homogeneous and inhomogeneous Nash-type inequalities to abstract metric-measure spaces. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1","pages":"65 - 70"},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4235132","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
Singularities Equivariantly Simple with Respect to Irreducible Representations 关于不可约表示的等效简单奇点
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010057
I. A. Proskurnin
{"title":"Singularities Equivariantly Simple with Respect to Irreducible Representations","authors":"I. A. Proskurnin","doi":"10.1134/S0016266323010057","DOIUrl":"10.1134/S0016266323010057","url":null,"abstract":"<p> There are many papers on the classification of singularities that are invariant or equivariant under the action of a finite group. However, since the problem is difficult, most of these papers consider only special cases, for example, the case of the action of a particular group of small order. In this paper, an attempt is made to prove general statements about equivariantly simple singularities; namely, singularities equivariantly simple with respect to irreducible actions of finite groups are classified. A criterion for the existence of such equivariantly simple singularities is also given. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1","pages":"60 - 64"},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4235136","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
The Weak Solvability of an Inhomogeneous Dynamic Problem for a Viscoelastic Continuum with Memory 具有记忆的粘弹性连续体非齐次动力问题的弱可解性
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010082
V. G. Zvyagin, V. P. Orlov
{"title":"The Weak Solvability of an Inhomogeneous Dynamic Problem for a Viscoelastic Continuum with Memory","authors":"V. G. Zvyagin,&nbsp;V. P. Orlov","doi":"10.1134/S0016266323010082","DOIUrl":"10.1134/S0016266323010082","url":null,"abstract":"<p> The existence of a weak solution to the initial boundary value problem for the equations of motion of a viscoelastic fluid with memory along the trajectories of a nonsmooth velocity field with inhomogeneous boundary condition is proved. The analysis involves Galerkin-type approximations of the original problem followed by the passage to the limit based on a priori estimates. To study the behavior of trajectories of a nonsmooth velocity field, the theory of regular Lagrangian flows is used. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1","pages":"74 - 79"},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4233949","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
Asymptotic Relations for the Distributional Stockwell and Wavelet Transforms 分布斯托克韦尔变换与小波变换的渐近关系
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010033
J. V. Buralieva
{"title":"Asymptotic Relations for the Distributional Stockwell and Wavelet Transforms","authors":"J. V. Buralieva","doi":"10.1134/S0016266323010033","DOIUrl":"10.1134/S0016266323010033","url":null,"abstract":"<p> Abelian- and Tauberian-type results characterizing the quasiasymptotic behavior of distributions in <span>(mathcal{S}_{0}'(mathbb{R}))</span> in terms of their Stockwell transforms are obtained. An Abelian-type result relating the quasiasymptotic boundedness of Lizorkin distributions to the asymptotic behavior of their Stockwell transforms is given. Several asymptotic results for the distributional wavelet transform are also presented. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1","pages":"29 - 39"},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4234005","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
Improved Inequalities for Numerical Radius via Cartesian Decomposition 利用笛卡尔分解改进的数值半径不等式
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010021
P. Bhunia, S. Jana, M. S. Moslehian, K. Paul
{"title":"Improved Inequalities for Numerical Radius via Cartesian Decomposition","authors":"P. Bhunia,&nbsp;S. Jana,&nbsp;M. S. Moslehian,&nbsp;K. Paul","doi":"10.1134/S0016266323010021","DOIUrl":"10.1134/S0016266323010021","url":null,"abstract":"<p> We derive various lower bounds for the numerical radius <span>(w(A))</span> of a bounded linear operator <span>(A)</span> defined on a complex Hilbert space, which improve the existing inequality <span>(w^2(A)geq frac{1}{4}|A^*A+AA^*|)</span>. In particular, for <span>(rgeq 1)</span>, we show that </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1","pages":"18 - 28"},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4235135","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
A Remark on Davies’ Hardy Inequality 评戴维斯的哈代不等式
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S0016266323010100
Y. C. Huang
{"title":"A Remark on Davies’ Hardy Inequality","authors":"Y. C. Huang","doi":"10.1134/S0016266323010100","DOIUrl":"10.1134/S0016266323010100","url":null,"abstract":"<p> We give an “integration by parts” approach to Davies’ Hardy inequality. An improvement with a strictly larger Hardy weight is thereby obtained. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1","pages":"83 - 86"},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4235133","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
On a Sharp Lower Bound for the Tjurina Number of Zero-Dimensional Complete Intersections 零维完全交点Tjurina数的一个尖锐下界
IF 0.4 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-09-05 DOI: 10.1134/S001626632301001X
A. G. Aleksandrov
{"title":"On a Sharp Lower Bound for the Tjurina Number of Zero-Dimensional Complete Intersections","authors":"A. G. Aleksandrov","doi":"10.1134/S001626632301001X","DOIUrl":"10.1134/S001626632301001X","url":null,"abstract":"<p> As is known, for isolated hypersurface singularities and complete intersections of positive dimension, the Milnor number is the least upper bound for the Tjurina number, i.e., <span>(tau leqslant mu)</span>. In this paper we show that, for zero-dimensional complete intersections, the reverse inequality holds. The proof is based on properties of faithful modules over an Artinian local ring. We also exploit simple properties of the annihilator and the socle of the modules of Kähler differentials and derivations and the theory of duality in the cotangent complex of zero-dimensional singularities. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 1","pages":"1 - 17"},"PeriodicalIF":0.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4231633","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
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