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Functional Analysis and Its Applications最新文献

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Some Inequalities for (p)-Quermassintegrals 关于 $$p$$ - 质点积分的一些不等式
IF 0.6 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-12-29 DOI: 10.1134/S0016266323020028
Weidong Wang, Yanping Zhou
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引用次数: 0
On the Birman Problem in the Theory of Nonnegative Symmetric Operators with Compact Inverse 论具有紧凑逆的非负对称算子理论中的比尔曼问题
IF 0.6 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-12-29 DOI: 10.1134/S0016266323020090
M. M. Malamud
{"title":"On the Birman Problem in the Theory of Nonnegative Symmetric Operators with Compact Inverse","authors":"M. M. Malamud","doi":"10.1134/S0016266323020090","DOIUrl":"10.1134/S0016266323020090","url":null,"abstract":"<p> Large classes of nonnegative Schrödinger operators on <span>(Bbb R^2)</span> and <span>(Bbb R^3)</span> with the following properties are described: </p><p> 1. The restriction of each of these operators to an appropriate unbounded set of measure zero in <span>(Bbb R^2)</span> (in <span>(Bbb R^3)</span>) is a nonnegative symmetric operator (the operator of a Dirichlet problem) with compact preresolvent; </p><p> 2. Under certain additional assumptions on the potential, the Friedrichs extension of such a restriction has continuous (sometimes absolutely continuous) spectrum filling the positive semiaxis. </p><p> The obtained results give a solution of a problem by M. S. Birman. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 2","pages":"173 - 177"},"PeriodicalIF":0.6,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139069478","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
Multipliers for the Calderón Construction 卡尔德龙建筑的乘数
IF 0.6 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-12-29 DOI: 10.1134/S0016266323020016
E. I. Berezhnoi
{"title":"Multipliers for the Calderón Construction","authors":"E. I. Berezhnoi","doi":"10.1134/S0016266323020016","DOIUrl":"10.1134/S0016266323020016","url":null,"abstract":"<p> On the basis of a new approach to the Calderón construction <span>(X_0^{theta} X_1^{1-theta})</span> for ideal spaces <span>(X_0)</span> and <span>(X_1)</span> and a parameter <span>(theta in [0,1])</span>, final results concerning a description of multipliers spaces are obtained. In particular, it is shown that if ideal spaces <span>(X_0)</span> and <span>(X_1)</span> have the Fatou property, then <span>(M(X_0^{theta_0} X_1^{1-theta_0},{to},X_0^{theta_1} X_1^{1-theta_1}) = M(X_1^{theta_1 - theta_0} to X_0^{theta_1 -theta_0}))</span> for <span>(0 &lt;theta_0 &lt;theta_1 &lt;1)</span>. Due to the absence of constraints on the ideal spaces <span>(X_0)</span> and <span>(X_1)</span>, the obtained results apply to a large class of ideal spaces. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 2","pages":"87 - 98"},"PeriodicalIF":0.6,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139069592","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
Diagram Automorphism Fixed Lie Algebras and Diagram Automorphism Fixed Quiver Varieties 图自形定列构和图自形定阙变式
IF 0.6 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-12-29 DOI: 10.1134/S001626632302003X
Zhijie Dong, Haitao Ma
{"title":"Diagram Automorphism Fixed Lie Algebras and Diagram Automorphism Fixed Quiver Varieties","authors":"Zhijie Dong,&nbsp;Haitao Ma","doi":"10.1134/S001626632302003X","DOIUrl":"10.1134/S001626632302003X","url":null,"abstract":"<p> We define certain subvarieties, called <span>(theta)</span>-Hecke correspondences, in Cartesian products of diagram automorphism fixed quiver varieties. These give us generators of diagram automorphism fixed Lie algebras. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 2","pages":"109 - 116"},"PeriodicalIF":0.6,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139069471","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
Spectral Analysis of a Dynamical System Describing the Diffusion of Neutrons 描述中子扩散的动力系统的光谱分析
IF 0.6 4区 数学
Functional Analysis and Its Applications Pub Date : 2023-12-29 DOI: 10.1134/S0016266323020053
S. A. Stepin
{"title":"Spectral Analysis of a Dynamical System Describing the Diffusion of Neutrons","authors":"S. A. Stepin","doi":"10.1134/S0016266323020053","DOIUrl":"10.1134/S0016266323020053","url":null,"abstract":"<p> The spectral properties of the generator of an evolution semigroup describing the dynamics of particle transport in a substance are studied. An effective estimate of the number of unstable modes is obtained, and geometric conditions for spectral stability and instability are found. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"57 2","pages":"143 - 157"},"PeriodicalIF":0.6,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139069401","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
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
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